10506100123 has 2 divisors, whose sum is σ = 10506100124. Its totient is φ = 10506100122.

The previous prime is 10506100117. The next prime is 10506100153. The reversal of 10506100123 is 32100160501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10506100123 - 2¹⁷ = 10505969051 is a prime.

It is a super-2 number, since 2×10506100123² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506100123.

It is not a weakly prime, because it can be changed into another prime (10506100153) 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, 5253050061 + 5253050062.

It is an arithmetic number, because the mean of its divisors is an integer number (5253050062).

Almost surely, 2^10506100123 is an apocalyptic number.

10506100123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506100123 is an equidigital number, since it uses as much as digits as its factorization.

10506100123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10506100123 its reverse (32100160501), we get a palindrome (42606260624).

The spelling of 10506100123 in words is "ten billion, five hundred six million, one hundred thousand, one hundred twenty-three".