101110020 has 144 divisors (see below), whose sum is σ = 328009920. Its totient is φ = 23189760.

The previous prime is 101110013. The next prime is 101110043. The reversal of 101110020 is 20011101.

It is a super-2 number, since 2×101110020² = 20446472288800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101109990 and 101110008.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137574 + ... + 138306.

Almost surely, 2^101110020 is an apocalyptic number.

101110020 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 101110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164004960).

101110020 is an abundant number, since it is smaller than the sum of its proper divisors (226899900).

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

101110020 is a wasteful number, since it uses less digits than its factorization.

101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101110020 is about 10055.3478308808. The cubic root of 101110020 is about 465.8699865091.

Adding to 101110020 its reverse (20011101), we get a palindrome (121121121).

The spelling of 101110020 in words is "one hundred one million, one hundred ten thousand, twenty".