122210202112101 has 6 divisors (see below), whose sum is σ = 176525847495270. Its totient is φ = 81473468074728.

The previous prime is 122210202112087. The next prime is 122210202112109. The reversal of 122210202112101 is 101211202012221.

122210202112101 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 20 + 211 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85791572115876 + 36418629996225 = 9262374^2 + 6034785^2 .

It is not a de Polignac number, because 122210202112101 - 2²³ = 122210193723493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210202112109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6789455672886 + ... + 6789455672903.

It is an arithmetic number, because the mean of its divisors is an integer number (29420974582545).

Almost surely, 2^{122210202112101} is an apocalyptic number.

It is an amenable number.

122210202112101 is a deficient number, since it is larger than the sum of its proper divisors (54315645383169).

122210202112101 is a wasteful number, since it uses less digits than its factorization.

122210202112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578911345795 (or 13578911345792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122210202112101 its reverse (101211202012221), we get a palindrome (223421404124322).

The spelling of 122210202112101 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred two million, one hundred twelve thousand, one hundred one".