100102248752 has 120 divisors (see below), whose sum is σ = 226931569200. Its totient is φ = 42620497920.

The previous prime is 100102248689. The next prime is 100102248773. The reversal of 100102248752 is 257842201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3258488 + ... + 3289064.

It is an arithmetic number, because the mean of its divisors is an integer number (1891096410).

Almost surely, 2^100102248752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102248752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113465784600).

100102248752 is an abundant number, since it is smaller than the sum of its proper divisors (126829320448).

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

100102248752 is a wasteful number, since it uses less digits than its factorization.

100102248752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30715 (or 30698 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 100102248752 its reverse (257842201001), we get a palindrome (357944449753).

The spelling of 100102248752 in words is "one hundred billion, one hundred two million, two hundred forty-eight thousand, seven hundred fifty-two".