102221222100200 has 144 divisors (see below), whose sum is σ = 278643589240320. Its totient is φ = 34771312920960.

The previous prime is 102221222100163. The next prime is 102221222100203. The reversal of 102221222100200 is 2001222122201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102221222100203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39821294 + ... + 42310493.

It is an arithmetic number, because the mean of its divisors is an integer number (1935024925280).

Almost surely, 2^{102221222100200} is an apocalyptic number.

102221222100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221222100200 is an abundant number, since it is smaller than the sum of its proper divisors (176422367140120).

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

102221222100200 is a wasteful number, since it uses less digits than its factorization.

102221222100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82131944 (or 82131928 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102221222100200 its reverse (2001222122201), we get a palindrome (104222444222401).

The spelling of 102221222100200 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred".