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221020012102100 = 225219194635976793
BaseRepresentation
bin110010010000010000111011…
…010011110100000111010100
31001222120022021122211002220212
4302100100323103310013110
5212432142441044231400
62102023105234544552
764361111640215441
oct6220207323640724
91058508248732825
10221020012102100
1164473073940832
12209571aaa38158
139643136892683
143c815d60409c8
151a843874e8335
hexc9043b4f41d4

221020012102100 has 72 divisors (see below), whose sum is σ = 504882261925440. Its totient is φ = 83750634650880.

The previous prime is 221020012102093. The next prime is 221020012102103. The reversal of 221020012102100 is 1201210020122.

It is a super-2 number, since 2×2210200121021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020012102103) 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, 33991304 + ... + 39968096.

Almost surely, 2221020012102100 is an apocalyptic number.

221020012102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020012102100 is an abundant number, since it is smaller than the sum of its proper divisors (283862249823340).

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

221020012102100 is a wasteful number, since it uses less digits than its factorization.

221020012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996289 (or 5996282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221020012102100 its reverse (1201210020122), we get a palindrome (222221222122222).

The spelling of 221020012102100 in words is "two hundred twenty-one trillion, twenty billion, twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 19463 38926 77852 97315 194630 369797 389260 486575 739594 973150 1479188 1848985 1946300 3697970 5976793 7395940 9244925 11953586 18489850 23907172 29883965 36979700 59767930 113559067 119535860 149419825 227118134 298839650 454236268 567795335 597679300 1135590670 2271181340 2838976675 5677953350 11355906700 116326322159 232652644318 465305288636 581631610795 1163263221590 2210200121021 2326526443180 2908158053975 4420400242042 5816316107950 8840800484084 11051000605105 11632632215900 22102001210210 44204002420420 55255003025525 110510006051050 221020012102100