122202100202101 has 8 divisors (see below), whose sum is σ = 122369863334040. Its totient is φ = 122034339927552.

The previous prime is 122202100202053. The next prime is 122202100202153. The reversal of 122202100202101 is 101202001202221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15690907380625 + 106511192821476 = 3961175^2 + 10320426^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122202100202101 - 2²¹ = 122202098104949 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 (122202100202401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93374265 + ... + 94673953.

It is an arithmetic number, because the mean of its divisors is an integer number (15296232916755).

Almost surely, 2^{122202100202101} is an apocalyptic number.

It is an amenable number.

122202100202101 is a deficient number, since it is larger than the sum of its proper divisors (167763131939).

122202100202101 is a wasteful number, since it uses less digits than its factorization.

122202100202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428695.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122202100202101 its reverse (101202001202221), we get a palindrome (223404101404322).

The spelling of 122202100202101 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred million, two hundred two thousand, one hundred one".