10112222202100 has 18 divisors (see below), whose sum is σ = 21943522178774. Its totient is φ = 4044888880800.

The previous prime is 10112222202053. The next prime is 10112222202151. The reversal of 10112222202100 is 120222221101.

It is a happy number.

10112222202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3555570326884 + 6556651875216 = 1885622^2 + 2560596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50561110911 + ... + 50561111110.

Almost surely, 2^{10112222202100} is an apocalyptic number.

10112222202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112222202100 is an abundant number, since it is smaller than the sum of its proper divisors (11831299976674).

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

10112222202100 is a wasteful number, since it uses less digits than its factorization.

10112222202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101122222035 (or 101122222028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10112222202100 its reverse (120222221101), we get a palindrome (10232444423201).

The spelling of 10112222202100 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred".