100201309162457 has 2 divisors, whose sum is σ = 100201309162458. Its totient is φ = 100201309162456.

The previous prime is 100201309162441. The next prime is 100201309162469. The reversal of 100201309162457 is 754261903102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100068591758041 + 132717404416 = 10003429^2 + 364304^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201309162457 - 2⁴ = 100201309162441 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201309162477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100654581228 + 50100654581229.

It is an arithmetic number, because the mean of its divisors is an integer number (50100654581229).

Almost surely, 2^{100201309162457} is an apocalyptic number.

It is an amenable number.

100201309162457 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201309162457 is an equidigital number, since it uses as much as digits as its factorization.

100201309162457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 100201309162457 in words is "one hundred trillion, two hundred one billion, three hundred nine million, one hundred sixty-two thousand, four hundred fifty-seven".