122010122020113 has 24 divisors (see below), whose sum is σ = 178981912404360. Its totient is φ = 80080971125760.

The previous prime is 122010122020103. The next prime is 122010122020153. The reversal of 122010122020113 is 311020221010221.

122010122020113 is a `hidden beast` number, since 1 + 220 + 10 + 1 + 220 + 201 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6713037448209 + 115297084571904 = 2590953^2 + 10737648^2 .

It is not a de Polignac number, because 122010122020113 - 2²⁸ = 122009853584657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122010122020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326685148 + ... + 327058413.

It is an arithmetic number, because the mean of its divisors is an integer number (7457579683515).

Almost surely, 2^{122010122020113} is an apocalyptic number.

It is an amenable number.

122010122020113 is a deficient number, since it is larger than the sum of its proper divisors (56971790384247).

122010122020113 is a wasteful number, since it uses less digits than its factorization.

122010122020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653743889 (or 653743886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122010122020113 its reverse (311020221010221), we get a palindrome (433030343030334).

The spelling of 122010122020113 in words is "one hundred twenty-two trillion, ten billion, one hundred twenty-two million, twenty thousand, one hundred thirteen".