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221210101002100 = 225271540812050963
BaseRepresentation
bin110010010011000001111101…
…011111011010111101110100
31002000020110221021121202011111
4302103001331133122331310
5212443301241324031400
62102250303435444404
764410621343212250
oct6223017537327564
91060213837552144
10221210101002100
116453674a0978a1
1220987bbb2b6704
13965803b74c722
143c8a8a9b01260
151a892b07c03ba
hexc9307d7daf74

221210101002100 has 72 divisors (see below), whose sum is σ = 548604878443328. Its totient is φ = 75842933990400.

The previous prime is 221210101002097. The next prime is 221210101002103. The reversal of 221210101002100 is 1200101012122.

It is an interprime number because it is at equal distance from previous prime (221210101002097) and next prime (221210101002103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210101002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106831219 + ... + 108882181.

Almost surely, 2221210101002100 is an apocalyptic number.

221210101002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210101002100 is an abundant number, since it is smaller than the sum of its proper divisors (327394777441228).

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

221210101002100 is a wasteful number, since it uses less digits than its factorization.

221210101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205065 (or 2205058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221210101002100 its reverse (1200101012122), we get a palindrome (222410202014222).

The spelling of 221210101002100 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred one million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 154081 308162 616324 770405 1078567 1540810 2050963 2157134 3081620 3852025 4101926 4314268 5392835 7704050 8203852 10254815 10785670 14356741 15408100 20509630 21571340 26964175 28713482 41019260 51274075 53928350 57426964 71783705 102548150 107856700 143567410 205096300 287134820 358918525 717837050 1435674100 316014430003 632028860006 1264057720012 1580072150015 2212101010021 3160144300030 4424202020042 6320288600060 7900360750075 8848404040084 11060505050105 15800721500150 22121010100210 31601443000300 44242020200420 55302525250525 110605050501050 221210101002100