210100220211120 has 40 divisors (see below), whose sum is σ = 651310682655216. Its totient is φ = 56026725389568.

The previous prime is 210100220211067. The next prime is 210100220211127. The reversal of 210100220211120 is 21112022001012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×210100220211120² (a number of 29 digits) contains 22 as substring.

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 210100220211120.

It is not an unprimeable number, because it can be changed into a prime (210100220211127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437708791867 + ... + 437708792346.

Almost surely, 2^{210100220211120} is an apocalyptic number.

210100220211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100220211120 is an abundant number, since it is smaller than the sum of its proper divisors (441210462444096).

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

210100220211120 is a wasteful number, since it uses less digits than its factorization.

210100220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875417584229 (or 875417584223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210100220211120 its reverse (21112022001012), we get a palindrome (231212242212132).

The spelling of 210100220211120 in words is "two hundred ten trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".