2100141024 has 96 divisors (see below), whose sum is σ = 5721801120. Its totient is φ = 673677312.

The previous prime is 2100141013. The next prime is 2100141031. The reversal of 2100141024 is 4201410012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2100140994 and 2100141012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981684 + ... + 983820.

It is an arithmetic number, because the mean of its divisors is an integer number (59602095).

Almost surely, 2^2100141024 is an apocalyptic number.

2100141024 is a gapful number since it is divisible by the number (24) 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 2100141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860900560).

2100141024 is an abundant number, since it is smaller than the sum of its proper divisors (3621660096).

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

2100141024 is a wasteful number, since it uses less digits than its factorization.

2100141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2100141024 is about 45827.2956217144. The cubic root of 2100141024 is about 1280.6078298056.

Adding to 2100141024 its reverse (4201410012), we get a palindrome (6301551036).

The spelling of 2100141024 in words is "two billion, one hundred million, one hundred forty-one thousand, twenty-four".