1000212001021 has 2 divisors, whose sum is σ = 1000212001022. Its totient is φ = 1000212001020.

The previous prime is 1000212000979. The next prime is 1000212001039. The reversal of 1000212001021 is 1201002120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 741475988100 + 258736012921 = 861090^2 + 508661^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000212001021 - 2¹⁵ = 1000211968253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000212000989 and 1000212001007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000212001421) 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 as a sum of consecutive naturals, namely, 500106000510 + 500106000511.

It is an arithmetic number, because the mean of its divisors is an integer number (500106000511).

Almost surely, 2^{1000212001021} is an apocalyptic number.

It is an amenable number.

1000212001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000212001021 is an equidigital number, since it uses as much as digits as its factorization.

1000212001021 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.

Adding to 1000212001021 its reverse (1201002120001), we get a palindrome (2201214121022).

The spelling of 1000212001021 in words is "one trillion, two hundred twelve million, one thousand, twenty-one".