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1000021122100 = 2252711139990221
BaseRepresentation
bin11101000110101011110…
…01110101110000110100
310112121020012011112120001
432203111321311300310
5112341020401401400
62043223043121044
7132151312200340
oct16432571656064
93477205145501
101000021122100
11356119942280
12141989073184
13733bc782920
1436589184620
151b02d539a6a
hexe8d5e75c34

1000021122100 has 144 divisors (see below), whose sum is σ = 2913628265856. Its totient is φ = 287718336000.

The previous prime is 1000021122073. The next prime is 1000021122119. The reversal of 1000021122100 is 12211200001.

It is a super-2 number, since 2×10000211221002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 4895011 + ... + 5095210.

It is an arithmetic number, because the mean of its divisors is an integer number (20233529624).

Almost surely, 21000021122100 is an apocalyptic number.

1000021122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000021122100 is an abundant number, since it is smaller than the sum of its proper divisors (1913607143756).

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

1000021122100 is a wasteful number, since it uses less digits than its factorization.

1000021122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990266 (or 9990259 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000021122100 its reverse (12211200001), we get a palindrome (1012232322101).

The spelling of 1000021122100 in words is "one trillion, twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 9990221 19980442 39960884 49951105 69931547 99902210 109892431 129872873 139863094 199804420 219784862 249755525 259745746 279726188 349657735 439569724 499511050 519491492 549462155 649364365 699315470 769247017 909110111 999022100 1098924310 1298728730 1398630940 1428601603 1538494034 1748288675 1818220222 2197848620 2597457460 2747310775 2857203206 3076988068 3246821825 3496577350 3636440444 3846235085 4545550555 5494621550 5714406412 6493643650 6993154700 7143008015 7692470170 9091101110 10000211221 10989243100 12987287300 14286016030 15384940340 18182202220 19231175425 20000422442 22727752775 28572032060 35715040075 38462350850 40000844884 45455505550 50001056105 71430080150 76924701700 90911011100 100002112210 142860160300 200004224420 250005280525 500010561050 1000021122100