2100211001 has 24 divisors (see below), whose sum is σ = 2557941120. Its totient is φ = 1717068192.

The previous prime is 2100210997. The next prime is 2100211007. The reversal of 2100211001 is 1001120012.

It is not a de Polignac number, because 2100211001 - 2² = 2100210997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100211001.

It is not an unprimeable number, because it can be changed into a prime (2100211007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 109040 + ... + 126846.

It is an arithmetic number, because the mean of its divisors is an integer number (106580880).

Almost surely, 2^2100211001 is an apocalyptic number.

It is an amenable number.

2100211001 is a deficient number, since it is larger than the sum of its proper divisors (457730119).

2100211001 is a wasteful number, since it uses less digits than its factorization.

2100211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2100211001 is about 45828.0591013846. The cubic root of 2100211001 is about 1280.6220529931.

Adding to 2100211001 its reverse (1001120012), we get a palindrome (3101331013).

The spelling of 2100211001 in words is "two billion, one hundred million, two hundred eleven thousand, one".