220132122100200 has 144 divisors (see below), whose sum is σ = 739641411026700. Its totient is φ = 58672966809600.

The previous prime is 220132122100183. The next prime is 220132122100307. The reversal of 220132122100200 is 2001221231022.

220132122100200 is a `hidden beast` number, since 2 + 20 + 1 + 321 + 22 + 100 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 161649915362244 + 58482206737956 = 12714162^2 + 7647366^2 .

It is a super-2 number, since 2×220132122100200² (a number of 29 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, 26484721 + ... + 33789120.

Almost surely, 2^{220132122100200} is an apocalyptic number.

220132122100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220132122100200 is an abundant number, since it is smaller than the sum of its proper divisors (519509288926500).

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

220132122100200 is a wasteful number, since it uses less digits than its factorization.

220132122100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60275892 (or 60275880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220132122100200 its reverse (2001221231022), we get a palindrome (222133343331222).

The spelling of 220132122100200 in words is "two hundred twenty trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred thousand, two hundred".