110101010112120 has 32 divisors (see below), whose sum is σ = 330303030336720. Its totient is φ = 29360269363200.

The previous prime is 110101010111993. The next prime is 110101010112133. The reversal of 110101010112120 is 21211010101011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110101010112096 and 110101010112105.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 458754208681 + ... + 458754208920.

Almost surely, 2^{110101010112120} is an apocalyptic number.

110101010112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101010112120 is an abundant number, since it is smaller than the sum of its proper divisors (220202020224600).

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

110101010112120 is a wasteful number, since it uses less digits than its factorization.

110101010112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917508417615 (or 917508417611 counting only the distinct ones).

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

Adding to 110101010112120 its reverse (21211010101011), we get a palindrome (131312020213131).

The spelling of 110101010112120 in words is "one hundred ten trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred twenty".