102102012100200 has 384 divisors, whose sum is σ = 377755936358400. Its totient is φ = 22305443973120.

The previous prime is 102102012100199. The next prime is 102102012100213. The reversal of 102102012100200 is 2001210201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123138204 + ... + 123964596.

It is an arithmetic number, because the mean of its divisors is an integer number (983739417600).

Almost surely, 2^{102102012100200} is an apocalyptic number.

102102012100200 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 102102012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188877968179200).

102102012100200 is an abundant number, since it is smaller than the sum of its proper divisors (275653924258200).

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

102102012100200 is a wasteful number, since it uses less digits than its factorization.

102102012100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827721 (or 827712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102012100200 its reverse (2001210201201), we get a palindrome (104103222301401).

The spelling of 102102012100200 in words is "one hundred two trillion, one hundred two billion, twelve million, one hundred thousand, two hundred".