10201222112200 has 48 divisors (see below), whose sum is σ = 27106104473280. Its totient is φ = 3497561866560.

The previous prime is 10201222112197. The next prime is 10201222112203. The reversal of 10201222112200 is 221122210201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201222112197) and next prime (10201222112203).

It is not an unprimeable number, because it can be changed into a prime (10201222112203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3643292212 + ... + 3643295011.

It is an arithmetic number, because the mean of its divisors is an integer number (564710509860).

Almost surely, 2^{10201222112200} is an apocalyptic number.

10201222112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201222112200 is an abundant number, since it is smaller than the sum of its proper divisors (16904882361080).

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

10201222112200 is a wasteful number, since it uses less digits than its factorization.

10201222112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286587246 (or 7286587237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201222112200 its reverse (221122210201), we get a palindrome (10422344322401).

The spelling of 10201222112200 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".