10220113312200 has 144 divisors (see below), whose sum is σ = 37442778843600. Its totient is φ = 2477603222400.

The previous prime is 10220113312183. The next prime is 10220113312219. The reversal of 10220113312200 is 221331102201.

10220113312200 is a `hidden beast` number, since 1 + 0 + 220 + 113 + 312 + 20 + 0 = 666.

It is a super-2 number, since 2×10220113312200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258063870 + ... + 258103469.

It is an arithmetic number, because the mean of its divisors is an integer number (260019297525).

Almost surely, 2^{10220113312200} is an apocalyptic number.

10220113312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220113312200 is an abundant number, since it is smaller than the sum of its proper divisors (27222665531400).

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

10220113312200 is a wasteful number, since it uses less digits than its factorization.

10220113312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516167372 (or 516167360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10220113312200 its reverse (221331102201), we get a palindrome (10441444414401).

The spelling of 10220113312200 in words is "ten trillion, two hundred twenty billion, one hundred thirteen million, three hundred twelve thousand, two hundred".