2100100001 has 8 divisors (see below), whose sum is σ = 2212063200. Its totient is φ = 1988280000.

The previous prime is 2100099979. The next prime is 2100100033. The reversal of 2100100001 is 1000010012.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100100081) 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 7 ways as a sum of consecutive naturals, for example, 5000 + ... + 65001.

It is an arithmetic number, because the mean of its divisors is an integer number (276507900).

Almost surely, 2^2100100001 is an apocalyptic number.

It is an amenable number.

2100100001 is a deficient number, since it is larger than the sum of its proper divisors (111963199).

2100100001 is a wasteful number, since it uses less digits than its factorization.

2100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71599.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2100100001 is about 45826.8480369314. The cubic root of 2100100001 is about 1280.5994915215.

Adding to 2100100001 its reverse (1000010012), we get a palindrome (3100110013).

The spelling of 2100100001 in words is "two billion, one hundred million, one hundred thousand, one".