100112122010177 has 2 divisors, whose sum is σ = 100112122010178. Its totient is φ = 100112122010176.

The previous prime is 100112122010143. The next prime is 100112122010233. The reversal of 100112122010177 is 771010221211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100079395752961 + 32726257216 = 10003969^2 + 180904^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112122010177 - 2²² = 100112117815873 is a prime.

It is a super-2 number, since 2×100112122010177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112122010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056061005088 + 50056061005089.

It is an arithmetic number, because the mean of its divisors is an integer number (50056061005089).

Almost surely, 2^{100112122010177} is an apocalyptic number.

It is an amenable number.

100112122010177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112122010177 is an equidigital number, since it uses as much as digits as its factorization.

100112122010177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 26.

Adding to 100112122010177 its reverse (771010221211001), we get a palindrome (871122343221178).

The spelling of 100112122010177 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, ten thousand, one hundred seventy-seven".