2100042100 has 72 divisors (see below), whose sum is σ = 4975089560. Its totient is φ = 764743680.

The previous prime is 2100042097. The next prime is 2100042101. The reversal of 2100042100 is 12400012.

It can be written as a sum of positive squares in 12 ways, for example, as 324936676 + 1775105424 = 18026^2 + 42132^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100042101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83836 + ... + 105964.

Almost surely, 2^2100042100 is an apocalyptic number.

2100042100 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 2100042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487544780).

2100042100 is an abundant number, since it is smaller than the sum of its proper divisors (2875047460).

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

2100042100 is a wasteful number, since it uses less digits than its factorization.

2100042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22229 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2100042100 is about 45826.2162959152. The cubic root of 2100042100 is about 1280.5877224514.

Adding to 2100042100 its reverse (12400012), we get a palindrome (2112442112).

The spelling of 2100042100 in words is "two billion, one hundred million, forty-two thousand, one hundred".