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21111202120100 = 22522914771492839
BaseRepresentation
bin1001100110011010101011…
…01101000000000110100100
32202202012200222021221021112
410303031111231000012210
510231341220220320400
6112522204040004152
74306143161136461
oct463152555000644
982665628257245
1021111202120100
1167aa235257724
12244b5aaa60658
13ba1a15b33931
1452db053aa668
1526923deed835
hex133355b401a4

21111202120100 has 72 divisors (see below), whose sum is σ = 47394313444800. Its totient is φ = 8152723331200.

The previous prime is 21111202120087. The next prime is 21111202120109. The reversal of 21111202120100 is 102120211112.

It is not an unprimeable number, because it can be changed into a prime (21111202120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42589481 + ... + 43082319.

It is an arithmetic number, because the mean of its divisors is an integer number (658254353400).

Almost surely, 221111202120100 is an apocalyptic number.

21111202120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111202120100 is an abundant number, since it is smaller than the sum of its proper divisors (26283111324700).

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

21111202120100 is a wasteful number, since it uses less digits than its factorization.

21111202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507653 (or 507646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21111202120100 its reverse (102120211112), we get a palindrome (21213322331212).

The spelling of 21111202120100 in words is "twenty-one trillion, one hundred eleven billion, two hundred two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 14771 29542 59084 73855 147710 295420 369275 428359 492839 738550 856718 985678 1477100 1713436 1971356 2141795 2464195 4283590 4928390 8567180 9856780 10708975 12320975 14292331 21417950 24641950 28584662 42835900 49283900 57169324 71461655 142923310 285846620 357308275 714616550 1429233100 7279724869 14559449738 29118899476 36398624345 72797248690 145594497380 181993121725 211112021201 363986243450 422224042402 727972486900 844448084804 1055560106005 2111120212010 4222240424020 5277800530025 10555601060050 21111202120100