102201002110200 has 192 divisors, whose sum is σ = 369787456373760. Its totient is φ = 22863202859520.

The previous prime is 102201002110187. The next prime is 102201002110243. The reversal of 102201002110200 is 2011200102201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258670387 + ... + 259065186.

It is an arithmetic number, because the mean of its divisors is an integer number (1925976335280).

Almost surely, 2^{102201002110200} is an apocalyptic number.

102201002110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201002110200 is an abundant number, since it is smaller than the sum of its proper divisors (267586454263560).

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

102201002110200 is a wasteful number, since it uses less digits than its factorization.

102201002110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517735646 (or 517735637 counting only the distinct ones).

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

Adding to 102201002110200 its reverse (2011200102201), we get a palindrome (104212202212401).

The spelling of 102201002110200 in words is "one hundred two trillion, two hundred one billion, two million, one hundred ten thousand, two hundred".