101100122100200 has 48 divisors (see below), whose sum is σ = 235581298087500. Its totient is φ = 40349981880320.

The previous prime is 101100122100137. The next prime is 101100122100311. The reversal of 101100122100200 is 2001221001101.

It can be written as a sum of positive squares in 6 ways, for example, as 33979362789124 + 67120759311076 = 5829182^2 + 8192726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562828475 + ... + 563008074.

Almost surely, 2^{101100122100200} is an apocalyptic number.

101100122100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100122100200 is an abundant number, since it is smaller than the sum of its proper divisors (134481175987300).

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

101100122100200 is a wasteful number, since it uses less digits than its factorization.

101100122100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125837014 (or 1125837005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100122100200 its reverse (2001221001101), we get a palindrome (103101343101301).

The spelling of 101100122100200 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, two hundred".