10022200225200 has 180 divisors, whose sum is σ = 35124174641088. Its totient is φ = 2646125376000.

The previous prime is 10022200225199. The next prime is 10022200225207. The reversal of 10022200225200 is 252200222001.

10022200225200 is a `hidden beast` number, since 100 + 2 + 2 + 20 + 0 + 22 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (10022200225207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13418304 + ... + 14145503.

Almost surely, 2^{10022200225200} is an apocalyptic number.

10022200225200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022200225200 is an abundant number, since it is smaller than the sum of its proper divisors (25101974415888).

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

10022200225200 is a wasteful number, since it uses less digits than its factorization.

10022200225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27563932 (or 27563918 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10022200225200 its reverse (252200222001), we get a palindrome (10274400447201).

The spelling of 10022200225200 in words is "ten trillion, twenty-two billion, two hundred million, two hundred twenty-five thousand, two hundred".