2100000001001 has 8 divisors (see below), whose sum is σ = 2400008831424. Its totient is φ = 1799993378160.

The previous prime is 2100000000997. The next prime is 2100000001049. The reversal of 2100000001001 is 1001000000012.

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 not a de Polignac number, because 2100000001001 - 2² = 2100000000997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100000051001) 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, 3079466 + ... + 3699068.

It is an arithmetic number, because the mean of its divisors is an integer number (300001103928).

Almost surely, 2^{2100000001001} is an apocalyptic number.

It is an amenable number.

2100000001001 is a deficient number, since it is larger than the sum of its proper divisors (300008830423).

2100000001001 is an equidigital number, since it uses as much as digits as its factorization.

2100000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103791.

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

Adding to 2100000001001 its reverse (1001000000012), we get a palindrome (3101000001013).

The spelling of 2100000001001 in words is "two trillion, one hundred billion, one thousand, one".