122100122021009 has 6 divisors (see below), whose sum is σ = 134209225031490. Its totient is φ = 111000110928080.

The previous prime is 122100122020993. The next prime is 122100122021081. The reversal of 122100122021009 is 900120221001221.

It can be written as a sum of positive squares in only one way, i.e., 119540809974784 + 2559312046225 = 10933472^2 + 1599785^2 .

It is not a de Polignac number, because 122100122021009 - 2⁴ = 122100122020993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122100122021509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504545958644 + ... + 504545958885.

It is an arithmetic number, because the mean of its divisors is an integer number (22368204171915).

Almost surely, 2^{122100122021009} is an apocalyptic number.

It is an amenable number.

122100122021009 is a deficient number, since it is larger than the sum of its proper divisors (12109103010481).

122100122021009 is a wasteful number, since it uses less digits than its factorization.

122100122021009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009091917551 (or 1009091917540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122100122021009 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, twenty-one thousand, nine".