2121102001 has 2 divisors, whose sum is σ = 2121102002. Its totient is φ = 2121102000.

The previous prime is 2121101999. The next prime is 2121102041. The reversal of 2121102001 is 1002011212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1326707776 + 794394225 = 36424^2 + 28185^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121102001 - 2¹ = 2121101999 is a prime.

Together with 2121101999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2121102041) 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 as a sum of consecutive naturals, namely, 1060551000 + 1060551001.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551001).

Almost surely, 2^2121102001 is an apocalyptic number.

It is an amenable number.

2121102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102001 is an equidigital number, since it uses as much as digits as its factorization.

2121102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2121102001 is about 46055.4231442943. The cubic root of 2121102001 is about 1284.8542080504.

Adding to 2121102001 its reverse (1002011212), we get a palindrome (3123113213).

The spelling of 2121102001 in words is "two billion, one hundred twenty-one million, one hundred two thousand, one".