102402424204201 has 24 divisors (see below), whose sum is σ = 113053451616000. Its totient is φ = 92683539748800.

The previous prime is 102402424204177. The next prime is 102402424204219.

It is a happy number.

102402424204201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102402424204201 - 2³⁹ = 101852668390313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102402424204201.

It is not an unprimeable number, because it can be changed into a prime (102402424204291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134063596 + ... + 134825266.

It is an arithmetic number, because the mean of its divisors is an integer number (4710560484000).

Almost surely, 2^{102402424204201} is an apocalyptic number.

102402424204201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102402424204201 is a deficient number, since it is larger than the sum of its proper divisors (10651027411799).

102402424204201 is a wasteful number, since it uses less digits than its factorization.

102402424204201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766581 (or 766570 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 102402424204201 in words is "one hundred two trillion, four hundred two billion, four hundred twenty-four million, two hundred four thousand, two hundred one".