112101222100213 has 2 divisors, whose sum is σ = 112101222100214. Its totient is φ = 112101222100212.

The previous prime is 112101222100093. The next prime is 112101222100223. The reversal of 112101222100213 is 312001222101211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83804375907729 + 28296846192484 = 9154473^2 + 5319478^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101222100213 - 2¹³ = 112101222092021 is a prime.

It is a super-2 number, since 2×112101222100213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112101222100223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050611050106 + 56050611050107.

It is an arithmetic number, because the mean of its divisors is an integer number (56050611050107).

Almost surely, 2^{112101222100213} is an apocalyptic number.

It is an amenable number.

112101222100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101222100213 is an equidigital number, since it uses as much as digits as its factorization.

112101222100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 112101222100213 its reverse (312001222101211), we get a palindrome (424102444201424).

The spelling of 112101222100213 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-two million, one hundred thousand, two hundred thirteen".