102515201 has 2 divisors, whose sum is σ = 102515202. Its totient is φ = 102515200.

The previous prime is 102515183. The next prime is 102515213.

102515201 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., 64384576 + 38130625 = 8024^2 + 6175^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102515201 - 2⁶ = 102515137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102515201.

It is not a weakly prime, because it can be changed into another prime (102515221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51257600 + 51257601.

It is an arithmetic number, because the mean of its divisors is an integer number (51257601).

Almost surely, 2^102515201 is an apocalyptic number.

It is an amenable number.

102515201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102515201 is an equidigital number, since it uses as much as digits as its factorization.

102515201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 102515201 is about 10124.9790617067. The cubic root of 102515201 is about 468.0182149508.

The spelling of 102515201 in words is "one hundred two million, five hundred fifteen thousand, two hundred one".