10123746127 has 8 divisors (see below), whose sum is σ = 11045043072. Its totient is φ = 9202608600.

The previous prime is 10123746121. The next prime is 10123746131. The reversal of 10123746127 is 72164732101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10123746127 - 2¹⁵ = 10123713359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10123746092 and 10123746101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123746121) 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 in 7 ways as a sum of consecutive naturals, for example, 121278 + ... + 186964.

It is an arithmetic number, because the mean of its divisors is an integer number (1380630384).

Almost surely, 2^10123746127 is an apocalyptic number.

10123746127 is a deficient number, since it is larger than the sum of its proper divisors (921296945).

10123746127 is a wasteful number, since it uses less digits than its factorization.

10123746127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79709.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 10123746127 in words is "ten billion, one hundred twenty-three million, seven hundred forty-six thousand, one hundred twenty-seven".