102927190579201 has 2 divisors, whose sum is σ = 102927190579202. Its totient is φ = 102927190579200.

The previous prime is 102927190579123. The next prime is 102927190579207. The reversal of 102927190579201 is 102975091729201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81138226920976 + 21788963658225 = 9007676^2 + 4667865^2 .

It is a cyclic number.

It is not a de Polignac number, because 102927190579201 - 2¹⁷ = 102927190448129 is a prime.

It is not a weakly prime, because it can be changed into another prime (102927190579207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51463595289600 + 51463595289601.

It is an arithmetic number, because the mean of its divisors is an integer number (51463595289601).

Almost surely, 2^{102927190579201} is an apocalyptic number.

It is an amenable number.

102927190579201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102927190579201 is an equidigital number, since it uses as much as digits as its factorization.

102927190579201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1428840, while the sum is 55.

The spelling of 102927190579201 in words is "one hundred two trillion, nine hundred twenty-seven billion, one hundred ninety million, five hundred seventy-nine thousand, two hundred one".