102402024100 has 72 divisors (see below), whose sum is σ = 230900665856. Its totient is φ = 39376800000.

The previous prime is 102402024097. The next prime is 102402024121. The reversal of 102402024100 is 1420204201.

102402024100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 358720 + ... + 577480.

Almost surely, 2^102402024100 is an apocalyptic number.

102402024100 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 102402024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115450332928).

102402024100 is an abundant number, since it is smaller than the sum of its proper divisors (128498641756).

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

102402024100 is a wasteful number, since it uses less digits than its factorization.

102402024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218957 (or 218950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102402024100 its reverse (1420204201), we get a palindrome (103822228301).

The spelling of 102402024100 in words is "one hundred two billion, four hundred two million, twenty-four thousand, one hundred".