11122001012100 has 144 divisors (see below), whose sum is σ = 35767440112320. Its totient is φ = 2645370124800.

The previous prime is 11122001012071. The next prime is 11122001012141. The reversal of 11122001012100 is 121010022111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31620415 + ... + 31970214.

It is an arithmetic number, because the mean of its divisors is an integer number (248385000780).

Almost surely, 2^{11122001012100} is an apocalyptic number.

11122001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122001012100 is an abundant number, since it is smaller than the sum of its proper divisors (24645439100220).

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

11122001012100 is a wasteful number, since it uses less digits than its factorization.

11122001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63590710 (or 63590703 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11122001012100 its reverse (121010022111), we get a palindrome (11243011034211).

The spelling of 11122001012100 in words is "eleven trillion, one hundred twenty-two billion, one million, twelve thousand, one hundred".