100112000000 has 154 divisors (see below), whose sum is σ = 250194570906. Its totient is φ = 40038400000.

The previous prime is 100111999961. The next prime is 100112000029. The reversal of 100112000000 is 211001.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 90846782464 + 9265217536 = 301408^2 + 96256^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15996872 + ... + 16003128.

Almost surely, 2^100112000000 is an apocalyptic number.

100112000000 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 100112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125097285453).

100112000000 is an abundant number, since it is smaller than the sum of its proper divisors (150082570906).

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

100112000000 is an frugal number, since it uses more digits than its factorization.

100112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100112000000 its reverse (211001), we get a palindrome (100112211001).

The spelling of 100112000000 in words is "one hundred billion, one hundred twelve million", and thus it is an aban number.