102200021211120 has 160 divisors (see below), whose sum is σ = 362333463697920. Its totient is φ = 23343657200640.

The previous prime is 102200021211103. The next prime is 102200021211179. The reversal of 102200021211120 is 21112120002201.

It is a super-2 number, since 2×102200021211120² (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 102200021211120.

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, 18884566 + ... + 23686005.

It is an arithmetic number, because the mean of its divisors is an integer number (2264584148112).

Almost surely, 2^{102200021211120} is an apocalyptic number.

102200021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200021211120 is an abundant number, since it is smaller than the sum of its proper divisors (260133442486800).

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

102200021211120 is a wasteful number, since it uses less digits than its factorization.

102200021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42572023 (or 42572017 counting only the distinct ones).

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

Adding to 102200021211120 its reverse (21112120002201), we get a palindrome (123312141213321).

The spelling of 102200021211120 in words is "one hundred two trillion, two hundred billion, twenty-one million, two hundred eleven thousand, one hundred twenty".