1002212109961 has 2 divisors, whose sum is σ = 1002212109962. Its totient is φ = 1002212109960.

The previous prime is 1002212109937. The next prime is 1002212110001. The reversal of 1002212109961 is 1699012122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 905152446025 + 97059663936 = 951395^2 + 311544^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002212109961 - 2²⁹ = 1001675239049 is a prime.

It is a super-2 number, since 2×1002212109961² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002212109361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501106054980 + 501106054981.

It is an arithmetic number, because the mean of its divisors is an integer number (501106054981).

Almost surely, 2^{1002212109961} is an apocalyptic number.

It is an amenable number.

1002212109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002212109961 is an equidigital number, since it uses as much as digits as its factorization.

1002212109961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 1002212109961 in words is "one trillion, two billion, two hundred twelve million, one hundred nine thousand, nine hundred sixty-one".