2100100009 has 8 divisors (see below), whose sum is σ = 2439460928. Its totient is φ = 1770575760.

The previous prime is 2100099979. The next prime is 2100100033. The reversal of 2100100009 is 9000010012.

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

It is a cyclic number.

It is not a de Polignac number, because 2100100009 - 2⁵ = 2100099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100100109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2458707 + ... + 2459560.

It is an arithmetic number, because the mean of its divisors is an integer number (304932616).

Almost surely, 2^2100100009 is an apocalyptic number.

It is an amenable number.

2100100009 is a deficient number, since it is larger than the sum of its proper divisors (339360919).

2100100009 is an equidigital number, since it uses as much as digits as its factorization.

2100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918335.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2100100009 is about 45826.8481242164. The cubic root of 2100100009 is about 1280.5994931476.

The spelling of 2100100009 in words is "two billion, one hundred million, one hundred thousand, nine".