10202222120200 has 384 divisors, whose sum is σ = 26689906736640. Its totient is φ = 3595622400000.

The previous prime is 10202222120179. The next prime is 10202222120213. The reversal of 10202222120200 is 202122220201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2222219905 + ... + 2222224495.

It is an arithmetic number, because the mean of its divisors is an integer number (69504965460).

Almost surely, 2^{10202222120200} is an apocalyptic number.

10202222120200 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 10202222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344953368320).

10202222120200 is an abundant number, since it is smaller than the sum of its proper divisors (16487684616440).

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

10202222120200 is a wasteful number, since it uses less digits than its factorization.

10202222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10202222120200 its reverse (202122220201), we get a palindrome (10404344340401).

It can be divided in two parts, 102022 and 22120200, that added together give a palindrome (22222222).

The spelling of 10202222120200 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".