100011110112100 has 54 divisors (see below), whose sum is σ = 238547161098722. Its totient is φ = 36367676400000.

The previous prime is 100011110112097. The next prime is 100011110112103. The reversal of 100011110112100 is 1211011110001.

100011110112100 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 (100011110112097) and next prime (100011110112103).

It can be written as a sum of positive squares in 3 ways, for example, as 27666695287396 + 72344414824704 = 5259914^2 + 8505552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100011110112103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4132678401 + ... + 4132702600.

Almost surely, 2^{100011110112100} is an apocalyptic number.

100011110112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011110112100 is an abundant number, since it is smaller than the sum of its proper divisors (138536050986622).

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

100011110112100 is a wasteful number, since it uses less digits than its factorization.

100011110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265381037 (or 8265381019 counting only the distinct ones).

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

Adding to 100011110112100 its reverse (1211011110001), we get a palindrome (101222121222101).

The spelling of 100011110112100 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twelve thousand, one hundred".