110112221101120 has 112 divisors (see below), whose sum is σ = 299665573579008. Its totient is φ = 37752379914240.

The previous prime is 110112221101067. The next prime is 110112221101121. The reversal of 110112221101120 is 21101122211011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×110112221101120³ (a number of 43 digits) contains 333 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 = 110112221101094 and 110112221101103.

It is not an unprimeable number, because it can be changed into a prime (110112221101121) 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, 305228050 + ... + 305588590.

It is an arithmetic number, because the mean of its divisors is an integer number (2675585478384).

Almost surely, 2^{110112221101120} is an apocalyptic number.

110112221101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112221101120 is an abundant number, since it is smaller than the sum of its proper divisors (189553352477888).

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

110112221101120 is a wasteful number, since it uses less digits than its factorization.

110112221101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496908 (or 496898 counting only the distinct ones).

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

Adding to 110112221101120 its reverse (21101122211011), we get a palindrome (131213343312131).

The spelling of 110112221101120 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".