101010110001 has 64 divisors (see below), whose sum is σ = 148703059200. Its totient is φ = 60761788416.

The previous prime is 101010109909. The next prime is 101010110011. The reversal of 101010110001 is 100011010101.

It is not a de Polignac number, because 101010110001 - 2¹⁰ = 101010108977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010110011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21089715 + ... + 21094503.

It is an arithmetic number, because the mean of its divisors is an integer number (2323485300).

Almost surely, 2^101010110001 is an apocalyptic number.

It is an amenable number.

101010110001 is a deficient number, since it is larger than the sum of its proper divisors (47692949199).

101010110001 is a wasteful number, since it uses less digits than its factorization.

101010110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101010110001 its reverse (100011010101), we get a palindrome (201021120102).

It can be divided in two parts, 1010101 and 10001, that multiplied together give a palindrome (10102020101).

The spelling of 101010110001 in words is "one hundred one billion, ten million, one hundred ten thousand, one".