100073635201 has 2 divisors, whose sum is σ = 100073635202. Its totient is φ = 100073635200.

The previous prime is 100073635169. The next prime is 100073635223. The reversal of 100073635201 is 102536370001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99149414400 + 924220801 = 314880^2 + 30401^2 .

It is a cyclic number.

It is not a de Polignac number, because 100073635201 - 2⁵ = 100073635169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100073635201.

It is not a weakly prime, because it can be changed into another prime (100073639201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50036817600 + 50036817601.

It is an arithmetic number, because the mean of its divisors is an integer number (50036817601).

Almost surely, 2^100073635201 is an apocalyptic number.

It is an amenable number.

100073635201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100073635201 is an equidigital number, since it uses as much as digits as its factorization.

100073635201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 100073635201 in words is "one hundred billion, seventy-three million, six hundred thirty-five thousand, two hundred one".