2102212021001 has 2 divisors, whose sum is σ = 2102212021002. Its totient is φ = 2102212021000.

The previous prime is 2102212020977. The next prime is 2102212021003. The reversal of 2102212021001 is 1001202122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2100328461001 + 1883560000 = 1449251^2 + 43400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102212021001 - 2¹⁴ = 2102212004617 is a prime.

It is a super-2 number, since 2×2102212021001² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2102212021003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2102212021003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051106010500 + 1051106010501.

It is an arithmetic number, because the mean of its divisors is an integer number (1051106010501).

Almost surely, 2^{2102212021001} is an apocalyptic number.

It is an amenable number.

2102212021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102212021001 is an equidigital number, since it uses as much as digits as its factorization.

2102212021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102212021001 its reverse (1001202122012), we get a palindrome (3103414143013).

The spelling of 2102212021001 in words is "two trillion, one hundred two billion, two hundred twelve million, twenty-one thousand, one".