1002211212001 has 2 divisors, whose sum is σ = 1002211212002. Its totient is φ = 1002211212000.

The previous prime is 1002211211999. The next prime is 1002211212007. The reversal of 1002211212001 is 1002121122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 802455848401 + 199755363600 = 895799^2 + 446940^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002211212001 - 2¹ = 1002211211999 is a prime.

Together with 1002211211999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1002211212007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501105606000 + 501105606001.

It is an arithmetic number, because the mean of its divisors is an integer number (501105606001).

Almost surely, 2^{1002211212001} is an apocalyptic number.

It is an amenable number.

1002211212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002211212001 is an equidigital number, since it uses as much as digits as its factorization.

1002211212001 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 1002211212001 its reverse (1002121122001), we get a palindrome (2004332334002).

The spelling of 1002211212001 in words is "one trillion, two billion, two hundred eleven million, two hundred twelve thousand, one".