10122022111200 has 144 divisors (see below), whose sum is σ = 33505609253760. Its totient is φ = 2653456606720.

The previous prime is 10122022111183. The next prime is 10122022111219. The reversal of 10122022111200 is 211122022101.

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 10122022111200.

It is a congruent number.

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, 35600004 + ... + 35883203.

It is an arithmetic number, because the mean of its divisors is an integer number (232677842040).

Almost surely, 2^{10122022111200} is an apocalyptic number.

10122022111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122022111200 is an abundant number, since it is smaller than the sum of its proper divisors (23383587142560).

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

10122022111200 is a wasteful number, since it uses less digits than its factorization.

10122022111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71483289 (or 71483276 counting only the distinct ones).

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

Adding to 10122022111200 its reverse (211122022101), we get a palindrome (10333144133301).

The spelling of 10122022111200 in words is "ten trillion, one hundred twenty-two billion, twenty-two million, one hundred eleven thousand, two hundred".