2100413120 has 84 divisors (see below), whose sum is σ = 5416082640. Its totient is φ = 775517184.

The previous prime is 2100413113. The next prime is 2100413123. The reversal of 2100413120 is 213140012.

It is a junction number, because it is equal to n+sod(n) for n = 2100413095 and 2100413104.

It is not an unprimeable number, because it can be changed into a prime (2100413123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34661 + ... + 73499.

Almost surely, 2^2100413120 is an apocalyptic number.

2100413120 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 2100413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708041320).

2100413120 is an abundant number, since it is smaller than the sum of its proper divisors (3315669520).

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

2100413120 is a wasteful number, since it uses less digits than its factorization.

2100413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38882 (or 38859 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2100413120 is about 45830.2642366373. The cubic root of 2100413120 is about 1280.6631329521.

Adding to 2100413120 its reverse (213140012), we get a palindrome (2313553132).

The spelling of 2100413120 in words is "two billion, one hundred million, four hundred thirteen thousand, one hundred twenty".