122310212133001 has 2 divisors, whose sum is σ = 122310212133002. Its totient is φ = 122310212133000.

The previous prime is 122310212132989. The next prime is 122310212133103. The reversal of 122310212133001 is 100331212013221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77554794510400 + 44755417622601 = 8806520^2 + 6689949^2 .

It is a cyclic number.

It is not a de Polignac number, because 122310212133001 - 2¹⁵ = 122310212100233 is a prime.

It is a super-2 number, since 2×122310212133001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122310212131001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155106066500 + 61155106066501.

It is an arithmetic number, because the mean of its divisors is an integer number (61155106066501).

Almost surely, 2^{122310212133001} is an apocalyptic number.

It is an amenable number.

122310212133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122310212133001 is an equidigital number, since it uses as much as digits as its factorization.

122310212133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122310212133001 its reverse (100331212013221), we get a palindrome (222641424146222).

The spelling of 122310212133001 in words is "one hundred twenty-two trillion, three hundred ten billion, two hundred twelve million, one hundred thirty-three thousand, one".