102200022322200 has 576 divisors, whose sum is σ = 391269631783680. Its totient is φ = 23664187008000.

The previous prime is 102200022322141. The next prime is 102200022322271. The reversal of 102200022322200 is 2223220002201.

102200022322200 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 0 + 223 + 2 + 220 + 0 = 666.

It is a super-2 number, since 2×102200022322200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314519014 + ... + 314843786.

It is an arithmetic number, because the mean of its divisors is an integer number (679287555180).

Almost surely, 2^{102200022322200} is an apocalyptic number.

102200022322200 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 102200022322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195634815891840).

102200022322200 is an abundant number, since it is smaller than the sum of its proper divisors (289069609461480).

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

102200022322200 is a wasteful number, since it uses less digits than its factorization.

102200022322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325520 (or 325508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102200022322200 its reverse (2223220002201), we get a palindrome (104423242324401).

The spelling of 102200022322200 in words is "one hundred two trillion, two hundred billion, twenty-two million, three hundred twenty-two thousand, two hundred".