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21110102212100 = 22521131860971909
BaseRepresentation
bin1001100110011000101000…
…01001001011111000000100
32202202002212022121211011012
410303030110021023320010
510231331442131241400
6112521502545101352
74306104004105556
oct463142411137004
982662768554135
1021110102212100
1167a98203a5550
12244b342627858
13ba189bcb5ab5
1452da3d2934d6
152691c7684d35
hex13331424be04

21110102212100 has 144 divisors (see below), whose sum is σ = 51592122892800. Its totient is φ = 7427808768000.

The previous prime is 21110102212093. The next prime is 21110102212139. The reversal of 21110102212100 is 121220101112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293530946 + ... + 293602854.

It is an arithmetic number, because the mean of its divisors is an integer number (358278631200).

Almost surely, 221110102212100 is an apocalyptic number.

21110102212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796061446400).

21110102212100 is an abundant number, since it is smaller than the sum of its proper divisors (30482020680700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21110102212100 is a wasteful number, since it uses less digits than its factorization.

21110102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80574 (or 80567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21110102212100 its reverse (121220101112), we get a palindrome (21231322313212).

The spelling of 21110102212100 in words is "twenty-one trillion, one hundred ten billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 8609 17050 17218 34100 34436 43045 71909 86090 94699 143818 172180 189398 215225 266879 287636 359545 378796 430450 473495 533758 719090 790999 860900 946990 1067516 1334395 1438180 1581998 1797725 1893980 2229179 2367475 2668790 2935669 3163996 3595450 3954995 4458358 4734950 5337580 5871338 6671975 7190900 7909990 8916716 9469900 11145895 11742676 13343950 14678345 15819980 19774975 22291790 24520969 26687900 29356690 39549950 44583580 49041938 55729475 58713380 73391725 79099900 98083876 111458950 122604845 146783450 222917900 245209690 293566900 490419380 613024225 619064581 1226048450 1238129162 2452096900 2476258324 3095322905 6190645810 6809710391 12381291620 13619420782 15476614525 19191002011 27238841564 30953229050 34048551955 38382004022 61906458100 68097103910 76764008044 95955010055 136194207820 170242759775 191910020110 211101022121 340485519550 383820040220 422202044242 479775050275 680971039100 844404088484 959550100550 1055505110605 1919100201100 2111010221210 4222020442420 5277525553025 10555051106050 21110102212100