10234412124031 has 2 divisors, whose sum is σ = 10234412124032. Its totient is φ = 10234412124030.

The previous prime is 10234412124029. The next prime is 10234412124043. The reversal of 10234412124031 is 13042121443201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10234412124031 - 2¹ = 10234412124029 is a prime.

It is a super-2 number, since 2×10234412124031² (a number of 27 digits) contains 22 as substring.

Together with 10234412124029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10234413124031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5117206062015 + 5117206062016.

It is an arithmetic number, because the mean of its divisors is an integer number (5117206062016).

Almost surely, 2^{10234412124031} is an apocalyptic number.

10234412124031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10234412124031 is an equidigital number, since it uses as much as digits as its factorization.

10234412124031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10234412124031 its reverse (13042121443201), we get a palindrome (23276533567232).

The spelling of 10234412124031 in words is "ten trillion, two hundred thirty-four billion, four hundred twelve million, one hundred twenty-four thousand, thirty-one".