2141525100 has 144 divisors (see below), whose sum is σ = 7279534080. Its totient is φ = 479212800.

The previous prime is 2141525083. The next prime is 2141525117. The reversal of 2141525100 is 15251412.

It is an interprime number because it is at equal distance from previous prime (2141525083) and next prime (2141525117).

It is a super-2 number, since 2×2141525100² = 9172259507860020000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 17941 + ... + 67859.

It is an arithmetic number, because the mean of its divisors is an integer number (50552320).

Almost surely, 2^2141525100 is an apocalyptic number.

2141525100 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 2141525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639767040).

2141525100 is an abundant number, since it is smaller than the sum of its proper divisors (5138008980).

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

2141525100 is a wasteful number, since it uses less digits than its factorization.

2141525100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49960 (or 49953 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2141525100 is about 46276.6150447502. The cubic root of 2141525100 is about 1288.9647965544.

Adding to 2141525100 its reverse (15251412), we get a palindrome (2156776512).

The spelling of 2141525100 in words is "two billion, one hundred forty-one million, five hundred twenty-five thousand, one hundred".