202201011101200 has 120 divisors (see below), whose sum is σ = 521409768931368. Its totient is φ = 75079956234240.

The previous prime is 202201011101179. The next prime is 202201011101207. The reversal of 202201011101200 is 2101110102202.

It can be written as a sum of positive squares in 12 ways, for example, as 34943798723584 + 167257212377616 = 5911328^2 + 12932796^2 .

It is not an unprimeable number, because it can be changed into a prime (202201011101207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203171017 + ... + 204163816.

Almost surely, 2^{202201011101200} is an apocalyptic number.

202201011101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201011101200 is an abundant number, since it is smaller than the sum of its proper divisors (319208757830168).

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

202201011101200 is a wasteful number, since it uses less digits than its factorization.

202201011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407334941 (or 407334930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202201011101200 its reverse (2101110102202), we get a palindrome (204302121203402).

The spelling of 202201011101200 in words is "two hundred two trillion, two hundred one billion, eleven million, one hundred one thousand, two hundred".