110112122101120 has 64 divisors (see below), whose sum is σ = 265003482006000. Its totient is φ = 43749245790208.

The previous prime is 110112122101087. The next prime is 110112122101127. The reversal of 110112122101120 is 21101221211011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×110112122101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110112122101094 and 110112122101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112122101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577254274 + ... + 577444993.

Almost surely, 2^{110112122101120} is an apocalyptic number.

110112122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112122101120 is an abundant number, since it is smaller than the sum of its proper divisors (154891359904880).

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

110112122101120 is a wasteful number, since it uses less digits than its factorization.

110112122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154699435 (or 1154699423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110112122101120 its reverse (21101221211011), we get a palindrome (131213343312131).

The spelling of 110112122101120 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".