1011102112213 has 2 divisors, whose sum is σ = 1011102112214. Its totient is φ = 1011102112212.

The previous prime is 1011102112199. The next prime is 1011102112249. The reversal of 1011102112213 is 3122112011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003158490084 + 7943622129 = 1001578^2 + 89127^2 .

It is an emirp because it is prime and its reverse (3122112011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011102112213 - 2²¹ = 1011100015061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011102112313) 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 as a sum of consecutive naturals, namely, 505551056106 + 505551056107.

It is an arithmetic number, because the mean of its divisors is an integer number (505551056107).

Almost surely, 2^{1011102112213} is an apocalyptic number.

It is an amenable number.

1011102112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011102112213 is an equidigital number, since it uses as much as digits as its factorization.

1011102112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1011102112213 its reverse (3122112011101), we get a palindrome (4133214123314).

The spelling of 1011102112213 in words is "one trillion, eleven billion, one hundred two million, one hundred twelve thousand, two hundred thirteen".