100111110001120 has 24 divisors (see below), whose sum is σ = 236512497378024. Its totient is φ = 40044444000384.

The previous prime is 100111110000973. The next prime is 100111110001171. The reversal of 100111110001120 is 21100011111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100111110001097 and 100111110001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312847218594 + ... + 312847218913.

It is an arithmetic number, because the mean of its divisors is an integer number (9854687390751).

Almost surely, 2^{100111110001120} is an apocalyptic number.

100111110001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111110001120 is an abundant number, since it is smaller than the sum of its proper divisors (136401387376904).

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

100111110001120 is an equidigital number, since it uses as much as digits as its factorization.

100111110001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625694437522 (or 625694437514 counting only the distinct ones).

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

Adding to 100111110001120 its reverse (21100011111001), we get a palindrome (121211121112121).

The spelling of 100111110001120 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one thousand, one hundred twenty".