1020110100 has 144 divisors (see below), whose sum is σ = 3015182016. Its totient is φ = 266240000.

The previous prime is 1020110071. The next prime is 1020110111. The reversal of 1020110100 is 10110201.

1020110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020110100² = 2081249232244020000, 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 congruent number.

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, 3969172 + ... + 3969428.

It is an arithmetic number, because the mean of its divisors is an integer number (20938764).

Almost surely, 2^1020110100 is an apocalyptic number.

1020110100 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 1020110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507591008).

1020110100 is an abundant number, since it is smaller than the sum of its proper divisors (1995071916).

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

1020110100 is a wasteful number, since it uses less digits than its factorization.

1020110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 499 counting only the distinct ones).

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

The square root of 1020110100 is about 31939.1624811923. The cubic root of 1020110100 is about 1006.6589269369.

Adding to 1020110100 its reverse (10110201), we get a palindrome (1030220301).

It can be divided in two parts, 10201 and 10100, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 1020110100 in words is "one billion, twenty million, one hundred ten thousand, one hundred".