100120111210013 has 2 divisors, whose sum is σ = 100120111210014. Its totient is φ = 100120111210012.

The previous prime is 100120111210001. The next prime is 100120111210027. The reversal of 100120111210013 is 310012111021001.

It is an a-pointer prime, because the next prime (100120111210027) can be obtained adding 100120111210013 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97171548298969 + 2948562911044 = 9857563^2 + 1717138^2 .

It is an emirp because it is prime and its reverse (310012111021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120111210013 - 2²⁶ = 100120044101149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120111210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120111210213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060055605006 + 50060055605007.

It is an arithmetic number, because the mean of its divisors is an integer number (50060055605007).

Almost surely, 2^{100120111210013} is an apocalyptic number.

It is an amenable number.

100120111210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120111210013 is an equidigital number, since it uses as much as digits as its factorization.

100120111210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100120111210013 its reverse (310012111021001), we get a palindrome (410132222231014).

The spelling of 100120111210013 in words is "one hundred trillion, one hundred twenty billion, one hundred eleven million, two hundred ten thousand, thirteen".