1000100123 has 16 divisors (see below), whose sum is σ = 1159202016. Its totient is φ = 852733440.

The previous prime is 1000100077. The next prime is 1000100161. The reversal of 1000100123 is 3210010001.

It is a cyclic number.

It is not a de Polignac number, because 1000100123 - 2²⁶ = 932991259 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100123.

It is not an unprimeable number, because it can be changed into a prime (1000100173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45665 + ... + 63917.

It is an arithmetic number, because the mean of its divisors is an integer number (72450126).

Almost surely, 2^1000100123 is an apocalyptic number.

1000100123 is a deficient number, since it is larger than the sum of its proper divisors (159101893).

1000100123 is a wasteful number, since it uses less digits than its factorization.

1000100123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18574.

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

The square root of 1000100123 is about 31624.3596456909. The cubic root of 1000100123 is about 1000.0333732195.

Adding to 1000100123 its reverse (3210010001), we get a palindrome (4210110124).

The spelling of 1000100123 in words is "one billion, one hundred thousand, one hundred twenty-three".