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21121202000100 = 223523717910630229
BaseRepresentation
bin1001100110101101010011…
…01111100001000011100100
32202210011111212211110210110
410303112221233201003210
510232022210203000400
6112530540220053020
74306646034541536
oct463265157410344
982704455743713
1021121202000100
1168034a699a564
12245151b994170
13ba294a7ab5a7
145303b34db856
15269626d85e50
hex1335a9be10e4

21121202000100 has 144 divisors (see below), whose sum is σ = 63112951137600. Its totient is φ = 5449480081920.

The previous prime is 21121202000039. The next prime is 21121202000123. The reversal of 21121202000100 is 100020212112.

It is a super-2 number, since 2×211212020001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3328215 + ... + 7302014.

It is an arithmetic number, because the mean of its divisors is an integer number (438284382900).

Almost surely, 221121202000100 is an apocalyptic number.

21121202000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121202000100 is an abundant number, since it is smaller than the sum of its proper divisors (41991749137500).

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

21121202000100 is a wasteful number, since it uses less digits than its factorization.

21121202000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630462 (or 10630455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121202000100 its reverse (100020212112), we get a palindrome (21221222212212).

The spelling of 21121202000100 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 179 185 222 300 358 370 444 537 555 716 740 895 925 1074 1110 1790 1850 2148 2220 2685 2775 3580 3700 4475 5370 5550 6623 8950 10740 11100 13246 13425 17900 19869 26492 26850 33115 39738 53700 66230 79476 99345 132460 165575 198690 331150 397380 496725 662300 993450 1986900 10630229 21260458 31890687 42520916 53151145 63781374 106302290 127562748 159453435 212604580 265755725 318906870 393318473 531511450 637813740 786636946 797267175 1063022900 1179955419 1573273892 1594534350 1902810991 1966592365 2359910838 3189068700 3805621982 3933184730 4719821676 5708432973 5899777095 7611243964 7866369460 9514054955 9832961825 11416865946 11799554190 19028109910 19665923650 22833731892 23599108380 28542164865 29498885475 38056219820 39331847300 47570274775 57084329730 58997770950 70404006667 95140549550 114168659460 117995541900 140808013334 142710824325 190281099100 211212020001 281616026668 285421648650 352020033335 422424040002 570843297300 704040066670 844848080004 1056060100005 1408080133340 1760100166675 2112120200010 3520200333350 4224240400020 5280300500025 7040400666700 10560601000050 21121202000100