10111122202200 has 96 divisors (see below), whose sum is σ = 31431790022400. Its totient is φ = 2688788613760.

The previous prime is 10111122202177. The next prime is 10111122202213. The reversal of 10111122202200 is 220222111101.

10111122202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10111122202200.

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, 23255172 + ... + 23685971.

It is an arithmetic number, because the mean of its divisors is an integer number (327414479400).

Almost surely, 2^{10111122202200} is an apocalyptic number.

10111122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111122202200 is an abundant number, since it is smaller than the sum of its proper divisors (21320667820200).

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

10111122202200 is a wasteful number, since it uses less digits than its factorization.

10111122202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46941521 (or 46941512 counting only the distinct ones).

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

Adding to 10111122202200 its reverse (220222111101), we get a palindrome (10331344313301).

The spelling of 10111122202200 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, two hundred two thousand, two hundred".