101412123353 has 2 divisors, whose sum is σ = 101412123354. Its totient is φ = 101412123352.

The previous prime is 101412123331. The next prime is 101412123361. The reversal of 101412123353 is 353321214101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56926142464 + 44485980889 = 238592^2 + 210917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101412123353 is a prime.

It is not a weakly prime, because it can be changed into another prime (101412123383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706061676 + 50706061677.

It is an arithmetic number, because the mean of its divisors is an integer number (50706061677).

Almost surely, 2^101412123353 is an apocalyptic number.

It is an amenable number.

101412123353 is a deficient number, since it is larger than the sum of its proper divisors (1).

101412123353 is an equidigital number, since it uses as much as digits as its factorization.

101412123353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 101412123353 its reverse (353321214101), we get a palindrome (454733337454).

The spelling of 101412123353 in words is "one hundred one billion, four hundred twelve million, one hundred twenty-three thousand, three hundred fifty-three".