10110001100112 has 120 divisors (see below), whose sum is σ = 29060160030720. Its totient is φ = 3278750365440.

The previous prime is 10110001100057. The next prime is 10110001100123. The reversal of 10110001100112 is 21100110001101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10110001100094 and 10110001100103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142280689 + ... + 142351727.

It is an arithmetic number, because the mean of its divisors is an integer number (242168000256).

Almost surely, 2^{10110001100112} is an apocalyptic number.

10110001100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110001100112 is an abundant number, since it is smaller than the sum of its proper divisors (18950158930608).

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

10110001100112 is a wasteful number, since it uses less digits than its factorization.

10110001100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97801 (or 97792 counting only the distinct ones).

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

Adding to 10110001100112 its reverse (21100110001101), we get a palindrome (31210111101213).

It can be divided in two parts, 1011000 and 1100112, that added together give a palindrome (2111112).

The spelling of 10110001100112 in words is "ten trillion, one hundred ten billion, one million, one hundred thousand, one hundred twelve".