102152585251201 has 2 divisors, whose sum is σ = 102152585251202. Its totient is φ = 102152585251200.

The previous prime is 102152585251141. The next prime is 102152585251207.

102152585251201 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81642338428225 + 20510246822976 = 9035615^2 + 4528824^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102152585251201 - 2¹⁷ = 102152585120129 is a prime.

It is not a weakly prime, because it can be changed into another prime (102152585251207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51076292625600 + 51076292625601.

It is an arithmetic number, because the mean of its divisors is an integer number (51076292625601).

Almost surely, 2^{102152585251201} is an apocalyptic number.

It is an amenable number.

102152585251201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102152585251201 is an equidigital number, since it uses as much as digits as its factorization.

102152585251201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80000, while the sum is 40.

The spelling of 102152585251201 in words is "one hundred two trillion, one hundred fifty-two billion, five hundred eighty-five million, two hundred fifty-one thousand, two hundred one".