110101101112120 has 64 divisors (see below), whose sum is σ = 247991037782400. Its totient is φ = 43993607454720.

The previous prime is 110101101112031. The next prime is 110101101112157. The reversal of 110101101112120 is 21211101101011.

It is a super-2 number, since 2×110101101112120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110101101112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159549025 + ... + 160237615.

It is an arithmetic number, because the mean of its divisors is an integer number (3874859965350).

Almost surely, 2^{110101101112120} is an apocalyptic number.

110101101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101101112120 is an abundant number, since it is smaller than the sum of its proper divisors (137889936670280).

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

110101101112120 is a wasteful number, since it uses less digits than its factorization.

110101101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692848 (or 692844 counting only the distinct ones).

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

Adding to 110101101112120 its reverse (21211101101011), we get a palindrome (131312202213131).

The spelling of 110101101112120 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred twenty".