102024003210100 has 36 divisors (see below), whose sum is σ = 221394134454444. Its totient is φ = 40809223866880.

The previous prime is 102024003210097. The next prime is 102024003210209. The reversal of 102024003210100 is 1012300420201.

It can be written as a sum of positive squares in 6 ways, for example, as 1207422973584 + 100816580236516 = 1098828^2 + 10040746^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6276684 + ... + 15602716.

It is an arithmetic number, because the mean of its divisors is an integer number (6149837068179).

Almost surely, 2^{102024003210100} is an apocalyptic number.

102024003210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024003210100 is an abundant number, since it is smaller than the sum of its proper divisors (119370131244344).

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

102024003210100 is a wasteful number, since it uses less digits than its factorization.

102024003210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435444 (or 9435437 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102024003210100 its reverse (1012300420201), we get a palindrome (103036303630301).

The spelling of 102024003210100 in words is "one hundred two trillion, twenty-four billion, three million, two hundred ten thousand, one hundred".