11101110101112 has 128 divisors (see below), whose sum is σ = 29566176171840. Its totient is φ = 3461301043200.

The previous prime is 11101110101089. The next prime is 11101110101203. The reversal of 11101110101112 is 21110101110111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75238612 + ... + 75386012.

Almost surely, 2^{11101110101112} is an apocalyptic number.

11101110101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101110101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783088085920).

11101110101112 is an abundant number, since it is smaller than the sum of its proper divisors (18465066070728).

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

11101110101112 is a wasteful number, since it uses less digits than its factorization.

11101110101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148561 (or 148557 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11101110101112 its reverse (21110101110111), we get a palindrome (32211211211223).

The spelling of 11101110101112 in words is "eleven trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one hundred twelve".