101000101010023 has 2 divisors, whose sum is σ = 101000101010024. Its totient is φ = 101000101010022.

The previous prime is 101000101009957. The next prime is 101000101010063. The reversal of 101000101010023 is 320010101000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000101010023 - 2¹⁷ = 101000100878951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000101009991 and 101000101010009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000101010063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050505011 + 50500050505012.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050505012).

Almost surely, 2^{101000101010023} is an apocalyptic number.

101000101010023 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101010023 is an equidigital number, since it uses as much as digits as its factorization.

101000101010023 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101000101010023 its reverse (320010101000101), we get a palindrome (421010202010124).

The spelling of 101000101010023 in words is "one hundred one trillion, one hundred one million, ten thousand, twenty-three".