10120112222101 has 32 divisors (see below), whose sum is σ = 12351688704000. Its totient is φ = 8104395176640.

The previous prime is 10120112222063. The next prime is 10120112222147. The reversal of 10120112222101 is 10122221102101.

10120112222101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120112222101 - 2¹⁵ = 10120112189333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120112282101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80128600 + ... + 80254798.

It is an arithmetic number, because the mean of its divisors is an integer number (385990272000).

Almost surely, 2^{10120112222101} is an apocalyptic number.

It is an amenable number.

10120112222101 is a deficient number, since it is larger than the sum of its proper divisors (2231576481899).

10120112222101 is a wasteful number, since it uses less digits than its factorization.

10120112222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139009.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10120112222101 its reverse (10122221102101), we get a palindrome (20242333324202).

The spelling of 10120112222101 in words is "ten trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, one hundred one".