102104222120200 has 96 divisors (see below), whose sum is σ = 239883026816160. Its totient is φ = 40413331814400.

The previous prime is 102104222120183. The next prime is 102104222120203. The reversal of 102104222120200 is 2021222401201.

It is a super-2 number, since 2×102104222120200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102104222120203) 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, 107449155 + ... + 108395245.

It is an arithmetic number, because the mean of its divisors is an integer number (2498781529335).

Almost surely, 2^{102104222120200} is an apocalyptic number.

102104222120200 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 102104222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119941513408080).

102104222120200 is an abundant number, since it is smaller than the sum of its proper divisors (137778804695960).

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

102104222120200 is a wasteful number, since it uses less digits than its factorization.

102104222120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951767 (or 951758 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102104222120200 its reverse (2021222401201), we get a palindrome (104125444521401).

The spelling of 102104222120200 in words is "one hundred two trillion, one hundred four billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".