122101000101953 has 2 divisors, whose sum is σ = 122101000101954. Its totient is φ = 122101000101952.

The previous prime is 122101000101881. The next prime is 122101000102009. The reversal of 122101000101953 is 359101000101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89743640249344 + 32357359852609 = 9473312^2 + 5688353^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101000101953 - 2²⁴ = 122100983324737 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101000101053) 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 as a sum of consecutive naturals, namely, 61050500050976 + 61050500050977.

It is an arithmetic number, because the mean of its divisors is an integer number (61050500050977).

Almost surely, 2^{122101000101953} is an apocalyptic number.

It is an amenable number.

122101000101953 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101000101953 is an equidigital number, since it uses as much as digits as its factorization.

122101000101953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 122101000101953 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred one thousand, nine hundred fifty-three".