10002211101013 has 2 divisors, whose sum is σ = 10002211101014. Its totient is φ = 10002211101012.

The previous prime is 10002211100929. The next prime is 10002211101037. The reversal of 10002211101013 is 31010111220001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8079823305009 + 1922387796004 = 2842503^2 + 1386502^2 .

It is an emirp because it is prime and its reverse (31010111220001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002211101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002211100984 and 10002211101002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002211101613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001105550506 + 5001105550507.

It is an arithmetic number, because the mean of its divisors is an integer number (5001105550507).

Almost surely, 2^{10002211101013} is an apocalyptic number.

It is an amenable number.

10002211101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002211101013 is an equidigital number, since it uses as much as digits as its factorization.

10002211101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10002211101013 its reverse (31010111220001), we get a palindrome (41012322321014).

The spelling of 10002211101013 in words is "ten trillion, two billion, two hundred eleven million, one hundred one thousand, thirteen".