100111121110 has 128 divisors (see below), whose sum is σ = 242534476800. Its totient is φ = 28733253120.

The previous prime is 100111121083. The next prime is 100111121137. The reversal of 100111121110 is 11121111001.

100111121110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100111121083) and next prime (100111121137).

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 63 ways as a sum of consecutive naturals, for example, 4182256 + ... + 4206124.

It is an arithmetic number, because the mean of its divisors is an integer number (1894800600).

Almost surely, 2^100111121110 is an apocalyptic number.

100111121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111121110 is an abundant number, since it is smaller than the sum of its proper divisors (142423355690).

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

100111121110 is a wasteful number, since it uses less digits than its factorization.

100111121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24326.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111121110 its reverse (11121111001), we get a palindrome (111232232111).

It can be divided in two parts, 1001 and 11121110, that added together give a palindrome (11122111).

The spelling of 100111121110 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, one hundred ten".