10122103829 has 2 divisors, whose sum is σ = 10122103830. Its totient is φ = 10122103828.

The previous prime is 10122103819. The next prime is 10122103837. The reversal of 10122103829 is 92830122101.

10122103829 is digitally balanced in base 3, 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., 10119957604 + 2146225 = 100598^2 + 1465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122103829 - 2⁴ = 10122103813 is a prime.

It is a super-2 number, since 2×10122103829² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122103819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061051914 + 5061051915.

It is an arithmetic number, because the mean of its divisors is an integer number (5061051915).

Almost surely, 2^10122103829 is an apocalyptic number.

It is an amenable number.

10122103829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122103829 is an equidigital number, since it uses as much as digits as its factorization.

10122103829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10122103829 in words is "ten billion, one hundred twenty-two million, one hundred three thousand, eight hundred twenty-nine".