2100214242 has 96 divisors (see below), whose sum is σ = 5264797824. Its totient is φ = 592704000.

The previous prime is 2100214231. The next prime is 2100214253. The reversal of 2100214242 is 2424120012.

2100214242 is a `hidden beast` number, since 210 + 0 + 214 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (2100214231) and next prime (2100214253).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5237242 + ... + 5237642.

It is an arithmetic number, because the mean of its divisors is an integer number (54841644).

Almost surely, 2^2100214242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632398912).

2100214242 is an abundant number, since it is smaller than the sum of its proper divisors (3164583582).

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

2100214242 is a wasteful number, since it uses less digits than its factorization.

2100214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2100214242 is about 45828.0944618037. The cubic root of 2100214242 is about 1280.6227117355.

Adding to 2100214242 its reverse (2424120012), we get a palindrome (4524334254).

The spelling of 2100214242 in words is "two billion, one hundred million, two hundred fourteen thousand, two hundred forty-two".