10022120100200 has 72 divisors (see below), whose sum is σ = 25231725230850. Its totient is φ = 3700475101440.

The previous prime is 10022120100191. The next prime is 10022120100217. The reversal of 10022120100200 is 200102122001.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 475639191556 + 9546480908644 = 689666^2 + 3089738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148222415 + ... + 148290014.

Almost surely, 2^{10022120100200} is an apocalyptic number.

10022120100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022120100200 is an abundant number, since it is smaller than the sum of its proper divisors (15209605130650).

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

10022120100200 is a wasteful number, since it uses less digits than its factorization.

10022120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296512471 (or 296512449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022120100200 its reverse (200102122001), we get a palindrome (10222222222201).

The spelling of 10022120100200 in words is "ten trillion, twenty-two billion, one hundred twenty million, one hundred thousand, two hundred".