11101101122112 has 112 divisors (see below), whose sum is σ = 30232789155840. Its totient is φ = 3593118638592.

The previous prime is 11101101122099. The next prime is 11101101122131. The reversal of 11101101122112 is 21122110110111.

It is a super-2 number, since 2×11101101122112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101101122091 and 11101101122100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697162 + ... + 5989257.

Almost surely, 2^{11101101122112} is an apocalyptic number.

11101101122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101101122112 is an abundant number, since it is smaller than the sum of its proper divisors (19131688033728).

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

11101101122112 is a wasteful number, since it uses less digits than its factorization.

11101101122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9686608 (or 9686598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11101101122112 its reverse (21122110110111), we get a palindrome (32223211232223).

The spelling of 11101101122112 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".