100201011101200 has 60 divisors (see below), whose sum is σ = 254893689727380. Its totient is φ = 37722733588480.

The previous prime is 100201011101197. The next prime is 100201011101209. The reversal of 100201011101200 is 2101110102001.

It can be written as a sum of positive squares in 6 ways, for example, as 455009607936 + 99746001493264 = 674544^2 + 9987292^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100201011101209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7367714605 + ... + 7367728204.

It is an arithmetic number, because the mean of its divisors is an integer number (4248228162123).

Almost surely, 2^{100201011101200} is an apocalyptic number.

100201011101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201011101200 is an abundant number, since it is smaller than the sum of its proper divisors (154692678626180).

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

100201011101200 is a wasteful number, since it uses less digits than its factorization.

100201011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14735442844 (or 14735442833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100201011101200 its reverse (2101110102001), we get a palindrome (102302121203201).

The spelling of 100201011101200 in words is "one hundred trillion, two hundred one billion, eleven million, one hundred one thousand, two hundred".