101000101001 has 2 divisors, whose sum is σ = 101000101002. Its totient is φ = 101000101000.

The previous prime is 101000100911. The next prime is 101000101009. The reversal of 101000101001 is 100101000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81154335376 + 19845765625 = 284876^2 + 140875^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000101001 - 2¹⁴ = 101000084617 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050500 + 50500050501.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050501).

Almost surely, 2^101000101001 is an apocalyptic number.

It is an amenable number.

101000101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101001 is an equidigital number, since it uses as much as digits as its factorization.

101000101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000101001 its reverse (100101000101), we get a palindrome (201101101102).

The spelling of 101000101001 in words is "one hundred one billion, one hundred one thousand, one".