102511343115201 has 16 divisors (see below), whose sum is σ = 136829520177728. Its totient is φ = 68267044296000.

The previous prime is 102511343115179. The next prime is 102511343115241.

102511343115201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102511343115201 - 2¹⁰ = 102511343114177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102511343115241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28636650 + ... + 32016876.

It is an arithmetic number, because the mean of its divisors is an integer number (8551845011108).

Almost surely, 2^{102511343115201} is an apocalyptic number.

It is an amenable number.

102511343115201 is a deficient number, since it is larger than the sum of its proper divisors (34318177062527).

102511343115201 is a wasteful number, since it uses less digits than its factorization.

102511343115201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391152.

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 102511343115201 in words is "one hundred two trillion, five hundred eleven billion, three hundred forty-three million, one hundred fifteen thousand, two hundred one".