10002212213113 has 2 divisors, whose sum is σ = 10002212213114. Its totient is φ = 10002212213112.

The previous prime is 10002212213111. The next prime is 10002212213137. The reversal of 10002212213113 is 31131221220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5279296619584 + 4722915593529 = 2297672^2 + 2173227^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002212213113 - 2¹ = 10002212213111 is a prime.

It is a super-2 number, since 2×10002212213113² (a number of 27 digits) contains 22 as substring.

Together with 10002212213111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002212213111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001106106556 + 5001106106557.

It is an arithmetic number, because the mean of its divisors is an integer number (5001106106557).

Almost surely, 2^{10002212213113} is an apocalyptic number.

It is an amenable number.

10002212213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002212213113 is an equidigital number, since it uses as much as digits as its factorization.

10002212213113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10002212213113 its reverse (31131221220001), we get a palindrome (41133433433114).

The spelling of 10002212213113 in words is "ten trillion, two billion, two hundred twelve million, two hundred thirteen thousand, one hundred thirteen".