2101000100 has 36 divisors (see below), whose sum is σ = 4561340868. Its totient is φ = 840000000.

The previous prime is 2101000093. The next prime is 2101000171. The reversal of 2101000100 is 10001012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 54523456 + 2046476644 = 7384^2 + 45238^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296600 + ... + 303600.

It is an arithmetic number, because the mean of its divisors is an integer number (126703913).

Almost surely, 2^2101000100 is an apocalyptic number.

2101000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101000100 is an abundant number, since it is smaller than the sum of its proper divisors (2460340768).

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

2101000100 is a wasteful number, since it uses less digits than its factorization.

2101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2101000100 is about 45836.6676362931. The cubic root of 2101000100 is about 1280.7824195858.

Adding to 2101000100 its reverse (10001012), we get a palindrome (2111001112).

The spelling of 2101000100 in words is "two billion, one hundred one million, one hundred", and thus it is an aban number.