21100210311120 has 160 divisors (see below), whose sum is σ = 68471670104064. Its totient is φ = 5368522252800.

The previous prime is 21100210311109. The next prime is 21100210311133. The reversal of 21100210311120 is 2111301200112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21100210311120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19443942 + ... + 20500421.

Almost surely, 2^{21100210311120} is an apocalyptic number.

21100210311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100210311120 is an abundant number, since it is smaller than the sum of its proper divisors (47371459792944).

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

21100210311120 is a wasteful number, since it uses less digits than its factorization.

21100210311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39944481 (or 39944475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21100210311120 its reverse (2111301200112), we get a palindrome (23211511511232).

The spelling of 21100210311120 in words is "twenty-one trillion, one hundred billion, two hundred ten million, three hundred eleven thousand, one hundred twenty".