122100122020993 has 2 divisors, whose sum is σ = 122100122020994. Its totient is φ = 122100122020992.

The previous prime is 122100122020957. The next prime is 122100122021081. The reversal of 122100122020993 is 399020221001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92775655168144 + 29324466852849 = 9632012^2 + 5415207^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100122020993 - 2²⁵ = 122100088466561 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100122027993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050061010496 + 61050061010497.

It is an arithmetic number, because the mean of its divisors is an integer number (61050061010497).

Almost surely, 2^{122100122020993} is an apocalyptic number.

It is an amenable number.

122100122020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100122020993 is an equidigital number, since it uses as much as digits as its factorization.

122100122020993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 122100122020993 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, twenty thousand, nine hundred ninety-three".