101110020120 has 128 divisors (see below), whose sum is σ = 337938321600. Its totient is φ = 26890278912.

The previous prime is 101110020073. The next prime is 101110020197. The reversal of 101110020120 is 21020011101.

It is a happy number.

101110020120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277344 + ... + 528336.

Almost surely, 2^101110020120 is an apocalyptic number.

101110020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168969160800).

101110020120 is an abundant number, since it is smaller than the sum of its proper divisors (236828301480).

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

101110020120 is a wasteful number, since it uses less digits than its factorization.

101110020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251386 (or 251376 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101110020120 its reverse (21020011101), we get a palindrome (122130031221).

The spelling of 101110020120 in words is "one hundred one billion, one hundred ten million, twenty thousand, one hundred twenty".