100123001001 has 6 divisors (see below), whose sum is σ = 144622112570. Its totient is φ = 66748667328.

The previous prime is 100123000987. The next prime is 100123001029. The reversal of 100123001001 is 100100321001.

It can be written as a sum of positive squares in only one way, i.e., 62457507225 + 37665493776 = 249915^2 + 194076^2 .

It is not a de Polignac number, because 100123001001 - 2⁶ = 100123000937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124777889 = 100123001001 / (1 + 0 + 0 + 1 + 2 + 3 + 0 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100123001071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562388936 + ... + 5562388953.

Almost surely, 2^100123001001 is an apocalyptic number.

It is an amenable number.

100123001001 is a deficient number, since it is larger than the sum of its proper divisors (44499111569).

100123001001 is a wasteful number, since it uses less digits than its factorization.

100123001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124777895 (or 11124777892 counting only the distinct ones).

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

Adding to 100123001001 its reverse (100100321001), we get a palindrome (200223322002).

The spelling of 100123001001 in words is "one hundred billion, one hundred twenty-three million, one thousand, one".