101010111010001 has 2 divisors, whose sum is σ = 101010111010002. Its totient is φ = 101010111010000.

The previous prime is 101010111009979. The next prime is 101010111010009. The reversal of 101010111010001 is 100010111010101.

It is an a-pointer prime, because the next prime (101010111010009) can be obtained adding 101010111010001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100580038681600 + 430072328401 = 10028960^2 + 655799^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111010001 - 2⁶ = 101010111009937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101010111010009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055505000 + 50505055505001.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055505001).

Almost surely, 2^{101010111010001} is an apocalyptic number.

It is an amenable number.

101010111010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111010001 is an equidigital number, since it uses as much as digits as its factorization.

101010111010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101010111010001 its reverse (100010111010101), we get a palindrome (201020222020102).

The spelling of 101010111010001 in words is "one hundred one trillion, ten billion, one hundred eleven million, ten thousand, one".