101010110110001 has 8 divisors (see below), whose sum is σ = 101129990936424. Its totient is φ = 100890263013120.

The previous prime is 101010110109949. The next prime is 101010110110009. The reversal of 101010110110001 is 100011011010101.

It can be written as a sum of positive squares in 4 ways, for example, as 39758762757025 + 61251347352976 = 6305455^2 + 7826324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010110110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010110110009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2436890 + ... + 14420771.

It is an arithmetic number, because the mean of its divisors is an integer number (12641248867053).

Almost surely, 2^{101010110110001} is an apocalyptic number.

It is an amenable number.

101010110110001 is a deficient number, since it is larger than the sum of its proper divisors (119880826423).

101010110110001 is an equidigital number, since it uses as much as digits as its factorization.

101010110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16864771.

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

Adding to 101010110110001 its reverse (100011011010101), we get a palindrome (201021121120102).

The spelling of 101010110110001 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred ten thousand, one".