110110111002112 has 160 divisors (see below), whose sum is σ = 240565657812480. Its totient is φ = 50045442416640.

The previous prime is 110110111002061. The next prime is 110110111002113. The reversal of 110110111002112 is 211200111011011.

It is a super-2 number, since 2×110110111002112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 110110111002092 and 110110111002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110111002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122268037 + ... + 123165307.

It is an arithmetic number, because the mean of its divisors is an integer number (1503535361328).

Almost surely, 2^{110110111002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120282828906240).

110110111002112 is an abundant number, since it is smaller than the sum of its proper divisors (130455546810368).

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

110110111002112 is a wasteful number, since it uses less digits than its factorization.

110110111002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897584 (or 897568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110110111002112 its reverse (211200111011011), we get a palindrome (321310222013123).

The spelling of 110110111002112 in words is "one hundred ten trillion, one hundred ten billion, one hundred eleven million, two thousand, one hundred twelve".