1002212110001 has 2 divisors, whose sum is σ = 1002212110002. Its totient is φ = 1002212110000.

The previous prime is 1002212109961. The next prime is 1002212110043. The reversal of 1002212110001 is 1000112122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988393872400 + 13818237601 = 994180^2 + 117551^2 .

It is an emirp because it is prime and its reverse (1000112122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002212110001 - 2⁶ = 1002212109937 is a prime.

It is a super-4 number, since 4×1002212110001⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1002212110301) 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, 501106055000 + 501106055001.

It is an arithmetic number, because the mean of its divisors is an integer number (501106055001).

Almost surely, 2^{1002212110001} is an apocalyptic number.

It is an amenable number.

1002212110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002212110001 is an equidigital number, since it uses as much as digits as its factorization.

1002212110001 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 11.

Adding to 1002212110001 its reverse (1000112122001), we get a palindrome (2002324232002).

The spelling of 1002212110001 in words is "one trillion, two billion, two hundred twelve million, one hundred ten thousand, one".