100034111422213 has 2 divisors, whose sum is σ = 100034111422214. Its totient is φ = 100034111422212.

The previous prime is 100034111422211. The next prime is 100034111422243. The reversal of 100034111422213 is 312224111430001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66555933545124 + 33478177877089 = 8158182^2 + 5786033^2 .

It is an emirp because it is prime and its reverse (312224111430001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100034111422213 - 2¹ = 100034111422211 is a prime.

Together with 100034111422211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100034111422211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50017055711106 + 50017055711107.

It is an arithmetic number, because the mean of its divisors is an integer number (50017055711107).

Almost surely, 2^{100034111422213} is an apocalyptic number.

It is an amenable number.

100034111422213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100034111422213 is an equidigital number, since it uses as much as digits as its factorization.

100034111422213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 100034111422213 its reverse (312224111430001), we get a palindrome (412258222852214).

The spelling of 100034111422213 in words is "one hundred trillion, thirty-four billion, one hundred eleven million, four hundred twenty-two thousand, two hundred thirteen".