101000123 has 8 divisors (see below), whose sum is σ = 117784800. Its totient is φ = 86571240.

The previous prime is 101000117. The next prime is 101000161. The reversal of 101000123 is 321000101.

It is not a de Polignac number, because 101000123 - 2⁶ = 101000059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000123.

It is not an unprimeable number, because it can be changed into a prime (101000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146888 + ... + 147573.

It is an arithmetic number, because the mean of its divisors is an integer number (14723100).

Almost surely, 2^101000123 is an apocalyptic number.

101000123 is a deficient number, since it is larger than the sum of its proper divisors (16784677).

101000123 is an frugal number, since it uses more digits than its factorization.

101000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294482 (or 294468 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101000123 is about 10049.8817405977. The cubic root of 101000123 is about 465.7011398272.

Adding to 101000123 its reverse (321000101), we get a palindrome (422000224).

The spelling of 101000123 in words is "one hundred one million, one hundred twenty-three", and thus it is an aban number.