100364564401 has 2 divisors, whose sum is σ = 100364564402. Its totient is φ = 100364564400.

The previous prime is 100364564389. The next prime is 100364564411. The reversal of 100364564401 is 104465463001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58624031376 + 41740533025 = 242124^2 + 204305^2 .

It is a cyclic number.

It is not a de Polignac number, because 100364564401 - 2⁵ = 100364564369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100364564411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50182282200 + 50182282201.

It is an arithmetic number, because the mean of its divisors is an integer number (50182282201).

Almost surely, 2^100364564401 is an apocalyptic number.

It is an amenable number.

100364564401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100364564401 is an equidigital number, since it uses as much as digits as its factorization.

100364564401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 100364564401 in words is "one hundred billion, three hundred sixty-four million, five hundred sixty-four thousand, four hundred one".