122102121121113 has 32 divisors (see below), whose sum is σ = 204368375347200. Its totient is φ = 63226466113536.

The previous prime is 122102121121091. The next prime is 122102121121121. The reversal of 122102121121113 is 311121121201221.

It is not a de Polignac number, because 122102121121113 - 2³³ = 122093531186521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122102121121113.

It is not an unprimeable number, because it can be changed into a prime (122102121120113) 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, 6652607208 + ... + 6652625561.

It is an arithmetic number, because the mean of its divisors is an integer number (6386511729600).

Almost surely, 2^{122102121121113} is an apocalyptic number.

It is an amenable number.

122102121121113 is a deficient number, since it is larger than the sum of its proper divisors (82266254226087).

122102121121113 is a wasteful number, since it uses less digits than its factorization.

122102121121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13305232821.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 122102121121113 its reverse (311121121201221), we get a palindrome (433223242322334).

The spelling of 122102121121113 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirteen".