100110121001117 has 2 divisors, whose sum is σ = 100110121001118. Its totient is φ = 100110121001116.

The previous prime is 100110121001083. The next prime is 100110121001201. The reversal of 100110121001117 is 711100121011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100104147102436 + 5973898681 = 10005206^2 + 77291^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110121001117 - 2⁶ = 100110121001053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110121001095 and 100110121001104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110121001417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055060500558 + 50055060500559.

It is an arithmetic number, because the mean of its divisors is an integer number (50055060500559).

Almost surely, 2^{100110121001117} is an apocalyptic number.

It is an amenable number.

100110121001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110121001117 is an equidigital number, since it uses as much as digits as its factorization.

100110121001117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 100110121001117 its reverse (711100121011001), we get a palindrome (811210242012118).

The spelling of 100110121001117 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, one thousand, one hundred seventeen".