10112440122121 has 2 divisors, whose sum is σ = 10112440122122. Its totient is φ = 10112440122120.

The previous prime is 10112440122077. The next prime is 10112440122131. The reversal of 10112440122121 is 12122104421101.

10112440122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9008017784896 + 1104422337225 = 3001336^2 + 1050915^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112440122121 - 2²⁹ = 10111903251209 is a prime.

It is a super-2 number, since 2×10112440122121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112440122092 and 10112440122101.

It is not a weakly prime, because it can be changed into another prime (10112440122131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056220061060 + 5056220061061.

It is an arithmetic number, because the mean of its divisors is an integer number (5056220061061).

Almost surely, 2^{10112440122121} is an apocalyptic number.

It is an amenable number.

10112440122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112440122121 is an equidigital number, since it uses as much as digits as its factorization.

10112440122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10112440122121 its reverse (12122104421101), we get a palindrome (22234544543222).

The spelling of 10112440122121 in words is "ten trillion, one hundred twelve billion, four hundred forty million, one hundred twenty-two thousand, one hundred twenty-one".