110121011000112 has 160 divisors (see below), whose sum is σ = 325559802839040. Its totient is φ = 31420533761280.

The previous prime is 110121011000093. The next prime is 110121011000131. The reversal of 110121011000112 is 211000110121011.

It is an interprime number because it is at equal distance from previous prime (110121011000093) and next prime (110121011000131).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740170243 + ... + 740319005.

It is an arithmetic number, because the mean of its divisors is an integer number (2034748767744).

Almost surely, 2^{110121011000112} is an apocalyptic number.

110121011000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110121011000112 is an abundant number, since it is smaller than the sum of its proper divisors (215438791838928).

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

110121011000112 is a wasteful number, since it uses less digits than its factorization.

110121011000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151751 (or 151745 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110121011000112 its reverse (211000110121011), we get a palindrome (321121121121123).

The spelling of 110121011000112 in words is "one hundred ten trillion, one hundred twenty-one billion, eleven million, one hundred twelve", and thus it is an aban number.