100112012112241 has 2 divisors, whose sum is σ = 100112012112242. Its totient is φ = 100112012112240.

The previous prime is 100112012112163. The next prime is 100112012112323. The reversal of 100112012112241 is 142211210211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97893115869025 + 2218896243216 = 9894095^2 + 1489596^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112012112241 - 2¹⁹ = 100112011587953 is a prime.

It is a super-2 number, since 2×100112012112241² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112012112341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056006056120 + 50056006056121.

It is an arithmetic number, because the mean of its divisors is an integer number (50056006056121).

Almost surely, 2^{100112012112241} is an apocalyptic number.

It is an amenable number.

100112012112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112012112241 is an equidigital number, since it uses as much as digits as its factorization.

100112012112241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100112012112241 its reverse (142211210211001), we get a palindrome (242323222323242).

The spelling of 100112012112241 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred twelve thousand, two hundred forty-one".