10102524502240 has 96 divisors (see below), whose sum is σ = 24515966611584. Its totient is φ = 3931705282560.

The previous prime is 10102524502207. The next prime is 10102524502243. The reversal of 10102524502240 is 4220542520101.

It is a happy number.

It is a super-2 number, since 2×10102524502240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102524502199 and 10102524502208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102524502243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309402 + ... + 4505638.

It is an arithmetic number, because the mean of its divisors is an integer number (255374652204).

Almost surely, 2^{10102524502240} is an apocalyptic number.

10102524502240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102524502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257983305792).

10102524502240 is an abundant number, since it is smaller than the sum of its proper divisors (14413442109344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102524502240 is a wasteful number, since it uses less digits than its factorization.

10102524502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196660 (or 4196652 counting only the distinct ones).

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

The spelling of 10102524502240 in words is "ten trillion, one hundred two billion, five hundred twenty-four million, five hundred two thousand, two hundred forty".