2100111020 has 96 divisors (see below), whose sum is σ = 5199538176. Its totient is φ = 697536000.

The previous prime is 2100111007. The next prime is 2100111043. The reversal of 2100111020 is 201110012.

It is a junction number, because it is equal to n+sod(n) for n = 2100110989 and 2100111007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865529 + ... + 867951.

It is an arithmetic number, because the mean of its divisors is an integer number (54161856).

Almost surely, 2^2100111020 is an apocalyptic number.

2100111020 is a gapful number since it is divisible by the number (20) 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 2100111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599769088).

2100111020 is an abundant number, since it is smaller than the sum of its proper divisors (3099427156).

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

2100111020 is a wasteful number, since it uses less digits than its factorization.

2100111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2100111020 is about 45826.9682610578. The cubic root of 2100111020 is about 1280.6017312404.

Adding to 2100111020 its reverse (201110012), we get a palindrome (2301221032).

The spelling of 2100111020 in words is "two billion, one hundred million, one hundred eleven thousand, twenty".