1000212102121 has 2 divisors, whose sum is σ = 1000212102122. Its totient is φ = 1000212102120.

The previous prime is 1000212102107. The next prime is 1000212102133. The reversal of 1000212102121 is 1212012120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 794173274896 + 206038827225 = 891164^2 + 453915^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000212102121 - 2²⁹ = 999675231209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000212102191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500106051060 + 500106051061.

It is an arithmetic number, because the mean of its divisors is an integer number (500106051061).

Almost surely, 2^{1000212102121} is an apocalyptic number.

It is an amenable number.

1000212102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000212102121 is an equidigital number, since it uses as much as digits as its factorization.

1000212102121 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 1000212102121 its reverse (1212012120001), we get a palindrome (2212224222122).

The spelling of 1000212102121 in words is "one trillion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".