2121101001001 has 8 divisors (see below), whose sum is σ = 2146734616320. Its totient is φ = 2095469247312.

The previous prime is 2121101000951. The next prime is 2121101001043. The reversal of 2121101001001 is 1001001011212.

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 2121101001001 - 2³¹ = 2118953517353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121101002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899271 + ... + 2801683.

It is an arithmetic number, because the mean of its divisors is an integer number (268341827040).

Almost surely, 2^{2121101001001} is an apocalyptic number.

It is an amenable number.

2121101001001 is a deficient number, since it is larger than the sum of its proper divisors (25633615319).

2121101001001 is an equidigital number, since it uses as much as digits as its factorization.

2121101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930815.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2121101001001 its reverse (1001001011212), we get a palindrome (3122102012213).

The spelling of 2121101001001 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one thousand, one".