101011100110001 has 16 divisors (see below), whose sum is σ = 103222251622800. Its totient is φ = 98823440314368.

The previous prime is 101011100109949. The next prime is 101011100110069. The reversal of 101011100110001 is 100011001110101.

It can be written as a sum of positive squares in 8 ways, for example, as 258437776 + 101010841672225 = 16076^2 + 10050415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011100110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011100118001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8973485 + ... + 16809093.

It is an arithmetic number, because the mean of its divisors is an integer number (6451390726425).

Almost surely, 2^{101011100110001} is an apocalyptic number.

It is an amenable number.

101011100110001 is a deficient number, since it is larger than the sum of its proper divisors (2211151512799).

101011100110001 is a wasteful number, since it uses less digits than its factorization.

101011100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837108.

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

Adding to 101011100110001 its reverse (100011001110101), we get a palindrome (201022101220102).

It can be divided in two parts, 101011100 and 110001, that added together give a palindrome (101121101).

The spelling of 101011100110001 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred ten thousand, one".