102001022221200 has 120 divisors (see below), whose sum is σ = 326755010820000. Its totient is φ = 27199295585280.

The previous prime is 102001022221177. The next prime is 102001022221207. The reversal of 102001022221200 is 2122220100201.

It is a tau number, because it is divible by the number of its divisors (120).

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 102001022221200.

It is not an unprimeable number, because it can be changed into a prime (102001022221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32206276 + ... + 35231324.

It is an arithmetic number, because the mean of its divisors is an integer number (2722958423500).

Almost surely, 2^{102001022221200} is an apocalyptic number.

102001022221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001022221200 is an abundant number, since it is smaller than the sum of its proper divisors (224753988598800).

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

102001022221200 is a wasteful number, since it uses less digits than its factorization.

102001022221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053169 (or 3053158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102001022221200 its reverse (2122220100201), we get a palindrome (104123242321401).

The spelling of 102001022221200 in words is "one hundred two trillion, one billion, twenty-two million, two hundred twenty-one thousand, two hundred".