102425524201 has 64 divisors (see below), whose sum is σ = 139527069696. Its totient is φ = 72605664000.

The previous prime is 102425524171. The next prime is 102425524211.

It is a happy number.

102425524201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102425524201 - 2¹³ = 102425516009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102425524201.

It is not an unprimeable number, because it can be changed into a prime (102425524211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22947696 + ... + 22952158.

It is an arithmetic number, because the mean of its divisors is an integer number (2180110464).

Almost surely, 2^102425524201 is an apocalyptic number.

102425524201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102425524201 is a deficient number, since it is larger than the sum of its proper divisors (37101545495).

102425524201 is a wasteful number, since it uses less digits than its factorization.

102425524201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822.

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 102425 and 524201, that added together give a palindrome (626626).

The spelling of 102425524201 in words is "one hundred two billion, four hundred twenty-five million, five hundred twenty-four thousand, two hundred one".