2141214100 has 72 divisors (see below), whose sum is σ = 4746680568. Its totient is φ = 838195200.

The previous prime is 2141214091. The next prime is 2141214149. The reversal of 2141214100 is 14121412.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 62948356 + 2078265744 = 7934^2 + 45588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999030 + ... + 1001170.

It is an arithmetic number, because the mean of its divisors is an integer number (65926119).

Almost surely, 2^2141214100 is an apocalyptic number.

2141214100 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 2141214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373340284).

2141214100 is an abundant number, since it is smaller than the sum of its proper divisors (2605466468).

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

2141214100 is a wasteful number, since it uses less digits than its factorization.

2141214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2141214100 is about 46273.2546942616. The cubic root of 2141214100 is about 1288.9023974946.

Adding to 2141214100 its reverse (14121412), we get a palindrome (2155335512).

It can be divided in two parts, 2141 and 214100, that multiplied together give a square (458388100 = 21410²).

The spelling of 2141214100 in words is "two billion, one hundred forty-one million, two hundred fourteen thousand, one hundred".