10112100122200 has 96 divisors (see below), whose sum is σ = 23556850479360. Its totient is φ = 4036892518400.

The previous prime is 10112100122197. The next prime is 10112100122231. The reversal of 10112100122200 is 222100121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521474505 + ... + 521493895.

It is an arithmetic number, because the mean of its divisors is an integer number (245383859160).

Almost surely, 2^{10112100122200} is an apocalyptic number.

10112100122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112100122200 is an abundant number, since it is smaller than the sum of its proper divisors (13444750357160).

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

10112100122200 is a wasteful number, since it uses less digits than its factorization.

10112100122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24397 (or 24388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10112100122200 its reverse (222100121101), we get a palindrome (10334200243301).

The spelling of 10112100122200 in words is "ten trillion, one hundred twelve billion, one hundred million, one hundred twenty-two thousand, two hundred".