102201002100200 has 96 divisors (see below), whose sum is σ = 241200998736600. Its totient is φ = 40265383772160.

The previous prime is 102201002100199. The next prime is 102201002100221. The reversal of 102201002100200 is 2001200102201.

It is a happy number.

102201002100200 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 12 ways, for example, as 7203737904484 + 94997264195716 = 2683978^2 + 9746654^2 .

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, 5926856 + ... + 15476744.

Almost surely, 2^{102201002100200} is an apocalyptic number.

102201002100200 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 102201002100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120600499368300).

102201002100200 is an abundant number, since it is smaller than the sum of its proper divisors (138999996636400).

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

102201002100200 is a wasteful number, since it uses less digits than its factorization.

102201002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550711 (or 9550702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102201002100200 its reverse (2001200102201), we get a palindrome (104202202202401).

The spelling of 102201002100200 in words is "one hundred two trillion, two hundred one billion, two million, one hundred thousand, two hundred".