100112111011200 has 96 divisors (see below), whose sum is σ = 329744265674760. Its totient is φ = 26696562933760.

The previous prime is 100112111011141. The next prime is 100112111011201. The reversal of 100112111011200 is 2110111211001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100112111011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112111011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5214162849 + ... + 5214182048.

Almost surely, 2^{100112111011200} is an apocalyptic number.

100112111011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112111011200 is an abundant number, since it is smaller than the sum of its proper divisors (229632154663560).

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

100112111011200 is a wasteful number, since it uses less digits than its factorization.

100112111011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428344924 (or 10428344907 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100112111011200 its reverse (2110111211001), we get a palindrome (102222222222201).

The spelling of 100112111011200 in words is "one hundred trillion, one hundred twelve billion, one hundred eleven million, eleven thousand, two hundred".