1001031122123 has 2 divisors, whose sum is σ = 1001031122124. Its totient is φ = 1001031122122.

The previous prime is 1001031122099. The next prime is 1001031122159. The reversal of 1001031122123 is 3212211301001.

1001031122123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001031122123 - 2³⁴ = 983851252939 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001031122323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500515561061 + 500515561062.

It is an arithmetic number, because the mean of its divisors is an integer number (500515561062).

Almost surely, 2^{1001031122123} is an apocalyptic number.

1001031122123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001031122123 is an equidigital number, since it uses as much as digits as its factorization.

1001031122123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001031122123 its reverse (3212211301001), we get a palindrome (4213242423124).

The spelling of 1001031122123 in words is "one trillion, one billion, thirty-one million, one hundred twenty-two thousand, one hundred twenty-three".