100112111200 has 72 divisors (see below), whose sum is σ = 244718008920. Its totient is φ = 39992524800.

The previous prime is 100112111173. The next prime is 100112111249. The reversal of 100112111200 is 2111211001.

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, 533835 + ... + 696565.

It is an arithmetic number, because the mean of its divisors is an integer number (3398861235).

Almost surely, 2^100112111200 is an apocalyptic number.

100112111200 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 100112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122359004460).

100112111200 is an abundant number, since it is smaller than the sum of its proper divisors (144605897720).

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

100112111200 is a wasteful number, since it uses less digits than its factorization.

100112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163520 (or 163507 counting only the distinct ones).

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

Adding to 100112111200 its reverse (2111211001), we get a palindrome (102223322201).

The spelling of 100112111200 in words is "one hundred billion, one hundred twelve million, one hundred eleven thousand, two hundred".