100201111121173 has 2 divisors, whose sum is σ = 100201111121174. Its totient is φ = 100201111121172.

The previous prime is 100201111121143. The next prime is 100201111121179. The reversal of 100201111121173 is 371121111102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86826745339569 + 13374365781604 = 9318087^2 + 3657098^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201111121173 - 2²⁵ = 100201077566741 is a prime.

It is a super-2 number, since 2×100201111121173² (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 (100201111121179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100555560586 + 50100555560587.

It is an arithmetic number, because the mean of its divisors is an integer number (50100555560587).

Almost surely, 2^{100201111121173} is an apocalyptic number.

It is an amenable number.

100201111121173 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201111121173 is an equidigital number, since it uses as much as digits as its factorization.

100201111121173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 100201111121173 its reverse (371121111102001), we get a palindrome (471322222223174).

The spelling of 100201111121173 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred seventy-three".