102252401001 has 20 divisors (see below), whose sum is σ = 152773793172. Its totient is φ = 68156494848.

The previous prime is 102252400997. The next prime is 102252401003. The reversal of 102252401001 is 100104252201.

102252401001 is a `hidden beast` number, since 10 + 2 + 252 + 401 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10779422976 + 91472978025 = 103824^2 + 302445^2 .

It is not a de Polignac number, because 102252401001 - 2² = 102252400997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102252401003) 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 19 ways as a sum of consecutive naturals, for example, 376165 + ... + 588221.

Almost surely, 2^102252401001 is an apocalyptic number.

It is an amenable number.

102252401001 is a deficient number, since it is larger than the sum of its proper divisors (50521392171).

102252401001 is an equidigital number, since it uses as much as digits as its factorization.

102252401001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218022 (or 218013 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 102252401001 its reverse (100104252201), we get a palindrome (202356653202).

The spelling of 102252401001 in words is "one hundred two billion, two hundred fifty-two million, four hundred one thousand, one".