100111112100 has 162 divisors, whose sum is σ = 331178432130. Its totient is φ = 25291146240.

The previous prime is 100111112083. The next prime is 100111112107. The reversal of 100111112100 is 1211111001.

It can be written as a sum of positive squares in 3 ways, for example, as 13336092324 + 86775019776 = 115482^2 + 294576^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100111112107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 170836 + ... + 478964.

Almost surely, 2^100111112100 is an apocalyptic number.

100111112100 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 100111112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165589216065).

100111112100 is an abundant number, since it is smaller than the sum of its proper divisors (231067320030).

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

100111112100 is a wasteful number, since it uses less digits than its factorization.

100111112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308187 (or 308158 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111112100 its reverse (1211111001), we get a palindrome (101322223101).

The spelling of 100111112100 in words is "one hundred billion, one hundred eleven million, one hundred twelve thousand, one hundred".