11101122213012 has 96 divisors (see below), whose sum is σ = 31017948326400. Its totient is φ = 3413155314816.

The previous prime is 11101122213007. The next prime is 11101122213043. The reversal of 11101122213012 is 21031222110111.

It is a happy number.

It is a super-2 number, since 2×11101122213012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116087 + ... + 4842302.

It is an arithmetic number, because the mean of its divisors is an integer number (323103628400).

Almost surely, 2^{11101122213012} is an apocalyptic number.

11101122213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101122213012 is an abundant number, since it is smaller than the sum of its proper divisors (19916826113388).

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

11101122213012 is a wasteful number, since it uses less digits than its factorization.

11101122213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959742 (or 5959734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11101122213012 its reverse (21031222110111), we get a palindrome (32132344323123).

The spelling of 11101122213012 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred thirteen thousand, twelve".