100123010001 has 24 divisors (see below), whose sum is σ = 165500846784. Its totient is φ = 57137542560.

The previous prime is 100123009997. The next prime is 100123010011. The reversal of 100123010001 is 100010321001.

It is not a de Polignac number, because 100123010001 - 2² = 100123009997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100123010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002015 + ... + 1097396.

It is an arithmetic number, because the mean of its divisors is an integer number (6895868616).

Almost surely, 2^100123010001 is an apocalyptic number.

It is an amenable number.

100123010001 is a deficient number, since it is larger than the sum of its proper divisors (65377836783).

100123010001 is a wasteful number, since it uses less digits than its factorization.

100123010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100181 (or 2100178 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100123010001 its reverse (100010321001), we get a palindrome (200133331002).

The spelling of 100123010001 in words is "one hundred billion, one hundred twenty-three million, ten thousand, one".