10112123102141 has 2 divisors, whose sum is σ = 10112123102142. Its totient is φ = 10112123102140.

The previous prime is 10112123102063. The next prime is 10112123102261. The reversal of 10112123102141 is 14120132121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9054833265625 + 1057289836516 = 3009125^2 + 1028246^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112123102141 - 2¹⁸ = 10112122839997 is a prime.

It is a super-2 number, since 2×10112123102141² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112123101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056061551070 + 5056061551071.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061551071).

Almost surely, 2^{10112123102141} is an apocalyptic number.

It is an amenable number.

10112123102141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112123102141 is an equidigital number, since it uses as much as digits as its factorization.

10112123102141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10112123102141 its reverse (14120132121101), we get a palindrome (24232255223242).

The spelling of 10112123102141 in words is "ten trillion, one hundred twelve billion, one hundred twenty-three million, one hundred two thousand, one hundred forty-one".