100456644764081 has 2 divisors, whose sum is σ = 100456644764082. Its totient is φ = 100456644764080.

The previous prime is 100456644764051. The next prime is 100456644764107. The reversal of 100456644764081 is 180467446654001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53686159943056 + 46770484821025 = 7327084^2 + 6838895^2 .

It is a cyclic number.

It is not a de Polignac number, because 100456644764081 - 2⁴² = 96058598252977 is a prime.

It is a super-2 number, since 2×100456644764081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100456644764051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50228322382040 + 50228322382041.

It is an arithmetic number, because the mean of its divisors is an integer number (50228322382041).

Almost surely, 2^{100456644764081} is an apocalyptic number.

It is an amenable number.

100456644764081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100456644764081 is an equidigital number, since it uses as much as digits as its factorization.

100456644764081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 100456644764081 in words is "one hundred trillion, four hundred fifty-six billion, six hundred forty-four million, seven hundred sixty-four thousand, eighty-one".