111101001011112 has 256 divisors, whose sum is σ = 336645734400000. Its totient is φ = 29847104778240.

The previous prime is 111101001011089. The next prime is 111101001011149. The reversal of 111101001011112 is 211110100101111.

It is a super-2 number, since 2×111101001011112² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 608211312 + ... + 608393952.

It is an arithmetic number, because the mean of its divisors is an integer number (1315022400000).

Almost surely, 2^{111101001011112} is an apocalyptic number.

111101001011112 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 111101001011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168322867200000).

111101001011112 is an abundant number, since it is smaller than the sum of its proper divisors (225544733388888).

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

111101001011112 is a wasteful number, since it uses less digits than its factorization.

111101001011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184104 (or 184100 counting only the distinct ones).

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

Adding to 111101001011112 its reverse (211110100101111), we get a palindrome (322211101112223).

It can be divided in two parts, 11110100101111 and 2, that multiplied together give a palindrome (22220200202222).

The spelling of 111101001011112 in words is "one hundred eleven trillion, one hundred one billion, one million, eleven thousand, one hundred twelve".