100143121103117 has 2 divisors, whose sum is σ = 100143121103118. Its totient is φ = 100143121103116.

The previous prime is 100143121103029. The next prime is 100143121103131. The reversal of 100143121103117 is 711301121341001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82801610012521 + 17341511090596 = 9099539^2 + 4164314^2 .

It is an emirp because it is prime and its reverse (711301121341001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100143121103117 - 2¹⁶ = 100143121037581 is a prime.

It is a super-3 number, since 3×100143121103117³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100143121103147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50071560551558 + 50071560551559.

It is an arithmetic number, because the mean of its divisors is an integer number (50071560551559).

Almost surely, 2^{100143121103117} is an apocalyptic number.

It is an amenable number.

100143121103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100143121103117 is an equidigital number, since it uses as much as digits as its factorization.

100143121103117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 100143121103117 its reverse (711301121341001), we get a palindrome (811444242444118).

The spelling of 100143121103117 in words is "one hundred trillion, one hundred forty-three billion, one hundred twenty-one million, one hundred three thousand, one hundred seventeen".