100210122222013 has 2 divisors, whose sum is σ = 100210122222014. Its totient is φ = 100210122222012.

The previous prime is 100210122221959. The next prime is 100210122222037. The reversal of 100210122222013 is 310222221012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81512783004249 + 18697339217764 = 9028443^2 + 4324042^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210122222013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210122222053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105061111006 + 50105061111007.

It is an arithmetic number, because the mean of its divisors is an integer number (50105061111007).

Almost surely, 2^{100210122222013} is an apocalyptic number.

It is an amenable number.

100210122222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210122222013 is an equidigital number, since it uses as much as digits as its factorization.

100210122222013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100210122222013 its reverse (310222221012001), we get a palindrome (410432343234014).

The spelling of 100210122222013 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty-two thousand, thirteen".