10122222120200 has 192 divisors, whose sum is σ = 25733544376320. Its totient is φ = 3686188032000.

The previous prime is 10122222120193. The next prime is 10122222120239. The reversal of 10122222120200 is 202122222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257261729 + ... + 257301071.

It is an arithmetic number, because the mean of its divisors is an integer number (134028876960).

Almost surely, 2^{10122222120200} is an apocalyptic number.

10122222120200 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 10122222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866772188160).

10122222120200 is an abundant number, since it is smaller than the sum of its proper divisors (15611322256120).

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

10122222120200 is a wasteful number, since it uses less digits than its factorization.

10122222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41848 (or 41839 counting only the distinct ones).

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

Adding to 10122222120200 its reverse (202122222101), we get a palindrome (10324344342301).

The spelling of 10122222120200 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".