1100122101200 has 60 divisors (see below), whose sum is σ = 2643857975340. Its totient is φ = 439913210880.

The previous prime is 1100122101163. The next prime is 1100122101203. The reversal of 1100122101200 is 21012210011.

It can be written as a sum of positive squares in 6 ways, for example, as 59999522704 + 1040122578496 = 244948^2 + 1019864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100122101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880586 + ... + 1725014.

It is an arithmetic number, because the mean of its divisors is an integer number (44064299589).

Almost surely, 2^{1100122101200} is an apocalyptic number.

1100122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100122101200 is an abundant number, since it is smaller than the sum of its proper divisors (1543735874140).

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

1100122101200 is a wasteful number, since it uses less digits than its factorization.

1100122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847704 (or 847693 counting only the distinct ones).

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

Adding to 1100122101200 its reverse (21012210011), we get a palindrome (1121134311211).

The spelling of 1100122101200 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, two hundred".