10102100200 has 96 divisors (see below), whose sum is σ = 24643422720. Its totient is φ = 3846240000.

The previous prime is 10102100189. The next prime is 10102100251. The reversal of 10102100200 is 200120101.

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, 364845 + ... + 391555.

It is an arithmetic number, because the mean of its divisors is an integer number (256702320).

Almost surely, 2^10102100200 is an apocalyptic number.

10102100200 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 10102100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321711360).

10102100200 is an abundant number, since it is smaller than the sum of its proper divisors (14541322520).

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

10102100200 is a wasteful number, since it uses less digits than its factorization.

10102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26819 (or 26810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10102100200 its reverse (200120101), we get a palindrome (10302220301).

The spelling of 10102100200 in words is "ten billion, one hundred two million, one hundred thousand, two hundred".