100112101100 has 72 divisors (see below), whose sum is σ = 237139488768. Its totient is φ = 36381844800.

The previous prime is 100112101073. The next prime is 100112101121. The reversal of 100112101100 is 1101211001.

It is a happy number.

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, 1801937 + ... + 1856663.

Almost surely, 2^100112101100 is an apocalyptic number.

100112101100 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 100112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118569744384).

100112101100 is an abundant number, since it is smaller than the sum of its proper divisors (137027387668).

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

100112101100 is a wasteful number, since it uses less digits than its factorization.

100112101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56415 (or 56408 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100112101100 its reverse (1101211001), we get a palindrome (101213312101).

The spelling of 100112101100 in words is "one hundred billion, one hundred twelve million, one hundred one thousand, one hundred".