212102010021001 has 2 divisors, whose sum is σ = 212102010021002. Its totient is φ = 212102010021000.

The previous prime is 212102010020941. The next prime is 212102010021059. The reversal of 212102010021001 is 100120010201212.

212102010021001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204891168560400 + 7210841460601 = 14314020^2 + 2685301^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102010021001 - 2¹⁵ = 212102009988233 is a prime.

It is a super-2 number, since 2×212102010021001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212102010021071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051005010500 + 106051005010501.

It is an arithmetic number, because the mean of its divisors is an integer number (106051005010501).

Almost surely, 2^{212102010021001} is an apocalyptic number.

It is an amenable number.

212102010021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102010021001 is an equidigital number, since it uses as much as digits as its factorization.

212102010021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212102010021001 its reverse (100120010201212), we get a palindrome (312222020222213).

The spelling of 212102010021001 in words is "two hundred twelve trillion, one hundred two billion, ten million, twenty-one thousand, one".