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201021200220100 = 225213923916736843
BaseRepresentation
bin101101101101001111100101…
…001110110011111111000100
3222100202102212002000020202111
4231231033211032303333010
5202322012404224020400
61551311510422150404
760225205511053441
oct5555174516637704
9870672762006674
10201021200220100
1159062680a043a7
121a667309282404
1388222aa7a2a50
14378d6998dc9c8
151839051b023ba
hexb6d3e53b3fc4

201021200220100 has 72 divisors (see below), whose sum is σ = 469821956345280. Its totient is φ = 74215174270080.

The previous prime is 201021200220097. The next prime is 201021200220119. The reversal of 201021200220100 is 1022002120102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3642279 + ... + 20379121.

It is an arithmetic number, because the mean of its divisors is an integer number (6525304949240).

Almost surely, 2201021200220100 is an apocalyptic number.

201021200220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021200220100 is an abundant number, since it is smaller than the sum of its proper divisors (268800756125180).

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

201021200220100 is a wasteful number, since it uses less digits than its factorization.

201021200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16746109 (or 16746102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201021200220100 its reverse (1022002120102), we get a palindrome (202043202340202).

The spelling of 201021200220100 in words is "two hundred one trillion, twenty-one billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9239 18478 36956 46195 92390 120107 184780 230975 240214 461950 480428 600535 923900 1201070 2402140 3002675 6005350 12010700 16736843 33473686 66947372 83684215 167368430 217578959 334736860 418421075 435157918 836842150 870315836 1087894795 1673684300 2175789590 4351579180 5439473975 10878947950 21757895900 154631692477 309263384954 618526769908 773158462385 1546316924770 2010212002201 3092633849540 3865792311925 4020424004402 7731584623850 8040848008804 10051060011005 15463169247700 20102120022010 40204240044020 50255300055025 100510600110050 201021200220100