1002212112001 has 2 divisors, whose sum is σ = 1002212112002. Its totient is φ = 1002212112000.

The previous prime is 1002212111987. The next prime is 1002212112007. The reversal of 1002212112001 is 1002112122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 963929276401 + 38282835600 = 981799^2 + 195660^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002212112001 - 2¹⁵ = 1002212079233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002212112007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501106056000 + 501106056001.

It is an arithmetic number, because the mean of its divisors is an integer number (501106056001).

Almost surely, 2^{1002212112001} is an apocalyptic number.

It is an amenable number.

1002212112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002212112001 is an equidigital number, since it uses as much as digits as its factorization.

1002212112001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1002212112001 its reverse (1002112122001), we get a palindrome (2004324234002).

The spelling of 1002212112001 in words is "one trillion, two billion, two hundred twelve million, one hundred twelve thousand, one".