22010010100113 has 16 divisors (see below), whose sum is σ = 33603191254016. Its totient is φ = 12553100537040.

The previous prime is 22010010100097. The next prime is 22010010100147. The reversal of 22010010100113 is 31100101001022.

It is not a de Polignac number, because 22010010100113 - 2⁴ = 22010010100097 is a prime.

It is a super-2 number, since 2×22010010100113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22010010100153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001992573 + ... + 1002014538.

It is an arithmetic number, because the mean of its divisors is an integer number (2100199453376).

Almost surely, 2^{22010010100113} is an apocalyptic number.

It is an amenable number.

22010010100113 is a deficient number, since it is larger than the sum of its proper divisors (11593181153903).

22010010100113 is a wasteful number, since it uses less digits than its factorization.

22010010100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004007644.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 22010010100113 its reverse (31100101001022), we get a palindrome (53110111101135).

Subtracting 22010010100113 from its reverse (31100101001022), we obtain a palindrome (9090090900909).

The spelling of 22010010100113 in words is "twenty-two trillion, ten billion, ten million, one hundred thousand, one hundred thirteen".