100112121017 has 2 divisors, whose sum is σ = 100112121018. Its totient is φ = 100112121016.

The previous prime is 100112121001. The next prime is 100112121041. The reversal of 100112121017 is 710121211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88345078441 + 11767042576 = 297229^2 + 108476^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112121017 - 2⁴ = 100112121001 is a prime.

It is a super-2 number, since 2×100112121017² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112120986 and 100112121004.

It is not a weakly prime, because it can be changed into another prime (100112121047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056060508 + 50056060509.

It is an arithmetic number, because the mean of its divisors is an integer number (50056060509).

Almost surely, 2^100112121017 is an apocalyptic number.

It is an amenable number.

100112121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112121017 is an equidigital number, since it uses as much as digits as its factorization.

100112121017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 100112121017 its reverse (710121211001), we get a palindrome (810233332018).

The spelling of 100112121017 in words is "one hundred billion, one hundred twelve million, one hundred twenty-one thousand, seventeen".