100657681509401 has 2 divisors, whose sum is σ = 100657681509402. Its totient is φ = 100657681509400.

The previous prime is 100657681509377. The next prime is 100657681509409. The reversal of 100657681509401 is 104905186756001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100650755275225 + 6926234176 = 10032485^2 + 83224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100657681509401 is a prime.

It is not a weakly prime, because it can be changed into another prime (100657681509409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50328840754700 + 50328840754701.

It is an arithmetic number, because the mean of its divisors is an integer number (50328840754701).

Almost surely, 2^{100657681509401} is an apocalyptic number.

It is an amenable number.

100657681509401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100657681509401 is an equidigital number, since it uses as much as digits as its factorization.

100657681509401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 53.

The spelling of 100657681509401 in words is "one hundred trillion, six hundred fifty-seven billion, six hundred eighty-one million, five hundred nine thousand, four hundred one".