10202112212100 has 72 divisors (see below), whose sum is σ = 29595182453760. Its totient is φ = 2713459927680.

The previous prime is 10202112212069. The next prime is 10202112212119. The reversal of 10202112212100 is 121221120201.

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 10202112212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44280715 + ... + 44510514.

Almost surely, 2^{10202112212100} is an apocalyptic number.

10202112212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202112212100 is an abundant number, since it is smaller than the sum of its proper divisors (19393070241660).

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

10202112212100 is a wasteful number, since it uses less digits than its factorization.

10202112212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88791629 (or 88791622 counting only the distinct ones).

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

Adding to 10202112212100 its reverse (121221120201), we get a palindrome (10323333332301).

The spelling of 10202112212100 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred twelve thousand, one hundred".