10100010100112 has 80 divisors (see below), whose sum is σ = 20055442655232. Its totient is φ = 4925568560640.

The previous prime is 10100010100021. The next prime is 10100010100123. The reversal of 10100010100112 is 21100101000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100010100112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258643373 + ... + 258682419.

Almost surely, 2^{10100010100112} is an apocalyptic number.

It is an amenable number.

10100010100112 is a deficient number, since it is larger than the sum of its proper divisors (9955432555120).

10100010100112 is a wasteful number, since it uses less digits than its factorization.

10100010100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40896 (or 40890 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100010100112 its reverse (21100101000101), we get a palindrome (31200111100213).

The spelling of 10100010100112 in words is "ten trillion, one hundred billion, ten million, one hundred thousand, one hundred twelve".