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22121002010100 = 22352750920695109
BaseRepresentation
bin1010000011110011100100…
…11101111000010111110100
32220022202011122221100120110
411001321302131320113310
510344412303003310400
6115014125324103020
74442122023444420
oct501716235702764
986282148840513
1022121002010100
117059511a39a64
122593246994a70
13c460034c4546
1456693b165b80
15285640c95e50
hex141e727785f4

22121002010100 has 144 divisors (see below), whose sum is σ = 73290490358400. Its totient is φ = 5046295134720.

The previous prime is 22121002010099. The next prime is 22121002010117. The reversal of 22121002010100 is 101020012122.

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

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, 9278655 + ... + 11416454.

It is an arithmetic number, because the mean of its divisors is an integer number (508961738600).

Almost surely, 222121002010100 is an apocalyptic number.

22121002010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121002010100 is an abundant number, since it is smaller than the sum of its proper divisors (51169488348300).

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

22121002010100 is a wasteful number, since it uses less digits than its factorization.

22121002010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20695642 (or 20695635 counting only the distinct ones).

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

Adding to 22121002010100 its reverse (101020012122), we get a palindrome (22222022022222).

The spelling of 22121002010100 in words is "twenty-two trillion, one hundred twenty-one billion, two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 509 525 700 1018 1050 1527 2036 2100 2545 3054 3563 5090 6108 7126 7635 10180 10689 12725 14252 15270 17815 21378 25450 30540 35630 38175 42756 50900 53445 71260 76350 89075 106890 152700 178150 213780 267225 356300 534450 1068900 20695109 41390218 62085327 82780436 103475545 124170654 144865763 206951090 248341308 289731526 310426635 413902180 434597289 517377725 579463052 620853270 724328815 869194578 1034755450 1241706540 1448657630 1552133175 1738389156 2069510900 2172986445 2897315260 3104266350 3621644075 4345972890 6208532700 7243288150 8691945780 10533810481 10864932225 14486576300 21067620962 21729864450 31601431443 42135241924 43459728900 52669052405 63202862886 73736673367 105338104810 126405725772 147473346734 158007157215 210676209620 221210020101 263345262025 294946693468 316014314430 368683366835 442420040202 526690524050 632028628860 737366733670 790035786075 884840080404 1053381048100 1106050100505 1474733467340 1580071572150 1843416834175 2212100201010 3160143144300 3686833668350 4424200402020 5530250502525 7373667336700 11060501005050 22121002010100