102332203100 has 72 divisors (see below), whose sum is σ = 227326856400. Its totient is φ = 39971865600.

The previous prime is 102332203087. The next prime is 102332203123. The reversal of 102332203100 is 1302233201.

It is a super-2 number, since 2×102332203100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787556 + ... + 908244.

It is an arithmetic number, because the mean of its divisors is an integer number (3157317450).

Almost surely, 2^102332203100 is an apocalyptic number.

102332203100 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 102332203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113663428200).

102332203100 is an abundant number, since it is smaller than the sum of its proper divisors (124994653300).

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

102332203100 is a wasteful number, since it uses less digits than its factorization.

102332203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120903 (or 120896 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102332203100 its reverse (1302233201), we get a palindrome (103634436301).

The spelling of 102332203100 in words is "one hundred two billion, three hundred thirty-two million, two hundred three thousand, one hundred".