102315101513201 has 8 divisors (see below), whose sum is σ = 106765808793984. Its totient is φ = 97864579616320.

The previous prime is 102315101513167. The next prime is 102315101513203.

It is a happy number.

102315101513201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102315101513201 - 2³⁸ = 102040223606257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102315101513203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45217565 + ... + 47426346.

It is an arithmetic number, because the mean of its divisors is an integer number (13345726099248).

Almost surely, 2^{102315101513201} is an apocalyptic number.

It is an amenable number.

102315101513201 is a deficient number, since it is larger than the sum of its proper divisors (4450707280783).

102315101513201 is an equidigital number, since it uses as much as digits as its factorization.

102315101513201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92691951.

The product of its (nonzero) digits is 900, while the sum is 26.

It can be divided in two parts, 10231510 and 1513201, that added together give a palindrome (11744711).

The spelling of 102315101513201 in words is "one hundred two trillion, three hundred fifteen billion, one hundred one million, five hundred thirteen thousand, two hundred one".