10111220112200 has 96 divisors (see below), whose sum is σ = 23755740342600. Its totient is φ = 4001983856640.

The previous prime is 10111220112179. The next prime is 10111220112281. The reversal of 10111220112200 is 221102211101.

10111220112200 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 12 ways, for example, as 2659619535556 + 7451600576644 = 1630834^2 + 2729762^2 .

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, 101004572 + ... + 101104628.

Almost surely, 2^{10111220112200} is an apocalyptic number.

10111220112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111220112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877870171300).

10111220112200 is an abundant number, since it is smaller than the sum of its proper divisors (13644520230400).

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

10111220112200 is a wasteful number, since it uses less digits than its factorization.

10111220112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105379 (or 105370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10111220112200 its reverse (221102211101), we get a palindrome (10332322323301).

The spelling of 10111220112200 in words is "ten trillion, one hundred eleven billion, two hundred twenty million, one hundred twelve thousand, two hundred".