100111213113173 has 2 divisors, whose sum is σ = 100111213113174. Its totient is φ = 100111213113172.

The previous prime is 100111213113143. The next prime is 100111213113227. The reversal of 100111213113173 is 371311312111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59103160628164 + 41008052485009 = 7687858^2 + 6403753^2 .

It is an emirp because it is prime and its reverse (371311312111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111213113173 - 2²⁰ = 100111212064597 is a prime.

It is a super-2 number, since 2×100111213113173² (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 (100111213113143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055606556586 + 50055606556587.

It is an arithmetic number, because the mean of its divisors is an integer number (50055606556587).

Almost surely, 2^{100111213113173} is an apocalyptic number.

It is an amenable number.

100111213113173 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111213113173 is an equidigital number, since it uses as much as digits as its factorization.

100111213113173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 26.

Adding to 100111213113173 its reverse (371311312111001), we get a palindrome (471422525224174).

The spelling of 100111213113173 in words is "one hundred trillion, one hundred eleven billion, two hundred thirteen million, one hundred thirteen thousand, one hundred seventy-three".