102200102100 has 324 divisors, whose sum is σ = 338479140636. Its totient is φ = 25788026880.

The previous prime is 102200102083. The next prime is 102200102129. The reversal of 102200102100 is 1201002201.

102200102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3375377604 + 98824724496 = 58098^2 + 314364^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46180594 + ... + 46182806.

Almost surely, 2^102200102100 is an apocalyptic number.

102200102100 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 102200102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169239570318).

102200102100 is an abundant number, since it is smaller than the sum of its proper divisors (236279038536).

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

102200102100 is a wasteful number, since it uses less digits than its factorization.

102200102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200102100 its reverse (1201002201), we get a palindrome (103401104301).

The spelling of 102200102100 in words is "one hundred two billion, two hundred million, one hundred two thousand, one hundred".