10112111200 has 72 divisors (see below), whose sum is σ = 24706465560. Its totient is φ = 4041523200.

The previous prime is 10112111189. The next prime is 10112111237. The reversal of 10112111200 is 211121101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122715 + ... + 1131685.

It is an arithmetic number, because the mean of its divisors is an integer number (343145355).

Almost surely, 2^10112111200 is an apocalyptic number.

10112111200 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 10112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353232780).

10112111200 is an abundant number, since it is smaller than the sum of its proper divisors (14594354360).

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

10112111200 is a wasteful number, since it uses less digits than its factorization.

10112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112111200 its reverse (211121101), we get a palindrome (10323232301).

Subtracting from 10112111200 its reverse (211121101), we obtain a palindrome (9900990099).

The spelling of 10112111200 in words is "ten billion, one hundred twelve million, one hundred eleven thousand, two hundred".