101031123001 has 2 divisors, whose sum is σ = 101031123002. Its totient is φ = 101031123000.

The previous prime is 101031122987. The next prime is 101031123073. The reversal of 101031123001 is 100321130101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95839776400 + 5191346601 = 309580^2 + 72051^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031123001 - 2²⁵ = 100997568569 is a prime.

It is not a weakly prime, because it can be changed into another prime (101031103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515561500 + 50515561501.

It is an arithmetic number, because the mean of its divisors is an integer number (50515561501).

Almost surely, 2^101031123001 is an apocalyptic number.

It is an amenable number.

101031123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031123001 is an equidigital number, since it uses as much as digits as its factorization.

101031123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101031123001 its reverse (100321130101), we get a palindrome (201352253102).

The spelling of 101031123001 in words is "one hundred one billion, thirty-one million, one hundred twenty-three thousand, one".