2120101001 has 2 divisors, whose sum is σ = 2120101002. Its totient is φ = 2120101000.

The previous prime is 2120100979. The next prime is 2120101003. The reversal of 2120101001 is 1001010212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1169982025 + 950118976 = 34205^2 + 30824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120101001 - 2¹⁰ = 2120099977 is a prime.

Together with 2120101003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2120101001.

It is not a weakly prime, because it can be changed into another prime (2120101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060050500 + 1060050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050501).

Almost surely, 2^2120101001 is an apocalyptic number.

It is an amenable number.

2120101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120101001 is an equidigital number, since it uses as much as digits as its factorization.

2120101001 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2120101001 is about 46044.5545205945. The cubic root of 2120101001 is about 1284.6520581876.

Adding to 2120101001 its reverse (1001010212), we get a palindrome (3121111213).

The spelling of 2120101001 in words is "two billion, one hundred twenty million, one hundred one thousand, one".