122122211102021 has 16 divisors (see below), whose sum is σ = 131988066294000. Its totient is φ = 112323895464960.

The previous prime is 122122211101993. The next prime is 122122211102027. The reversal of 122122211102021 is 120201112221221.

It can be written as a sum of positive squares in 8 ways, for example, as 217668902500 + 121904542199521 = 466550^2 + 11041039^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122211102021 - 2¹⁰ = 122122211100997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122211101984 and 122122211102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122211102027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19109501 + ... + 24686381.

It is an arithmetic number, because the mean of its divisors is an integer number (8249254143375).

Almost surely, 2^{122122211102021} is an apocalyptic number.

It is an amenable number.

122122211102021 is a deficient number, since it is larger than the sum of its proper divisors (9865855191979).

122122211102021 is a wasteful number, since it uses less digits than its factorization.

122122211102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582936.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122122211102021 its reverse (120201112221221), we get a palindrome (242323323323242).

The spelling of 122122211102021 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, twenty-one".