122012102201 has 24 divisors (see below), whose sum is σ = 139211722440. Its totient is φ = 106728849920.

The previous prime is 122012102167. The next prime is 122012102231. The reversal of 122012102201 is 102201210221.

It can be written as a sum of positive squares in 4 ways, for example, as 84172515625 + 37839586576 = 290125^2 + 194524^2 .

It is not a de Polignac number, because 122012102201 - 2²⁶ = 121944993337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122012102231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968801 + ... + 1087473.

It is an arithmetic number, because the mean of its divisors is an integer number (5800488435).

Almost surely, 2^122012102201 is an apocalyptic number.

122012102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012102201 is a deficient number, since it is larger than the sum of its proper divisors (17199620239).

122012102201 is a wasteful number, since it uses less digits than its factorization.

122012102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119017 (or 119006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122012102201 its reverse (102201210221), we get a palindrome (224213312422).

It can be divided in two parts, 12201210220 and 1, that added together give a palindrome (12201210221).

The spelling of 122012102201 in words is "one hundred twenty-two billion, twelve million, one hundred two thousand, two hundred one".