102201211012200 has 48 divisors (see below), whose sum is σ = 316823754139680. Its totient is φ = 27253656269760.

The previous prime is 102201211012169. The next prime is 102201211012207. The reversal of 102201211012200 is 2210112102201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102201211012200.

It is not an unprimeable number, because it can be changed into a prime (102201211012207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85167675244 + ... + 85167676443.

It is an arithmetic number, because the mean of its divisors is an integer number (6600494877910).

Almost surely, 2^{102201211012200} is an apocalyptic number.

102201211012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201211012200 is an abundant number, since it is smaller than the sum of its proper divisors (214622543127480).

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

102201211012200 is a wasteful number, since it uses less digits than its factorization.

102201211012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170335351706 (or 170335351697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102201211012200 its reverse (2210112102201), we get a palindrome (104411323114401).

The spelling of 102201211012200 in words is "one hundred two trillion, two hundred one billion, two hundred eleven million, twelve thousand, two hundred".