10002221222013 has 6 divisors (see below), whose sum is σ = 14447652876254. Its totient is φ = 6668147481336.

The previous prime is 10002221221981. The next prime is 10002221222129. The reversal of 10002221222013 is 31022212220001.

It can be written as a sum of positive squares in only one way, i.e., 10002152613924 + 68608089 = 3162618^2 + 8283^2 .

It is not a de Polignac number, because 10002221222013 - 2⁵ = 10002221221981 is a prime.

It is a super-5 number, since 5×10002221222013⁵ (a number of 66 digits) contains 55555 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002221223013) 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 in 5 ways as a sum of consecutive naturals, for example, 555678956770 + ... + 555678956787.

Almost surely, 2^{10002221222013} is an apocalyptic number.

It is an amenable number.

10002221222013 is a deficient number, since it is larger than the sum of its proper divisors (4445431654241).

10002221222013 is a wasteful number, since it uses less digits than its factorization.

10002221222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111357913563 (or 1111357913560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002221222013 its reverse (31022212220001), we get a palindrome (41024433442014).

The spelling of 10002221222013 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred twenty-two thousand, thirteen".