10010022100112 has 20 divisors (see below), whose sum is σ = 19394838131196. Its totient is φ = 5004902582400.

The previous prime is 10010022100097. The next prime is 10010022100147. The reversal of 10010022100112 is 21100122001001.

10010022100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4457570799616 + 5552451300496 = 2111296^2 + 2356364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10010022100093 and 10010022100102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6015263 + ... + 7496894.

Almost surely, 2^{10010022100112} is an apocalyptic number.

It is an amenable number.

10010022100112 is a deficient number, since it is larger than the sum of its proper divisors (9384816031084).

10010022100112 is a wasteful number, since it uses less digits than its factorization.

10010022100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13558466 (or 13558460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10010022100112 its reverse (21100122001001), we get a palindrome (31110144101113).

The spelling of 10010022100112 in words is "ten trillion, ten billion, twenty-two million, one hundred thousand, one hundred twelve".