102220320232200 has 192 divisors, whose sum is σ = 322967700619200. Its totient is φ = 26735673369600.

The previous prime is 102220320232193. The next prime is 102220320232243. The reversal of 102220320232200 is 2232023022201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96814731 + ... + 97864869.

It is an arithmetic number, because the mean of its divisors is an integer number (1682123440725).

Almost surely, 2^{102220320232200} is an apocalyptic number.

102220320232200 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 102220320232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161483850309600).

102220320232200 is an abundant number, since it is smaller than the sum of its proper divisors (220747380387000).

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

102220320232200 is a wasteful number, since it uses less digits than its factorization.

102220320232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053272 (or 1053263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102220320232200 its reverse (2232023022201), we get a palindrome (104452343254401).

The spelling of 102220320232200 in words is "one hundred two trillion, two hundred twenty billion, three hundred twenty million, two hundred thirty-two thousand, two hundred".