101100010101001 has 16 divisors (see below), whose sum is σ = 105874314074496. Its totient is φ = 96357298346496.

The previous prime is 101100010100981. The next prime is 101100010101043. The reversal of 101100010101001 is 100101010001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100010101001 - 2¹¹ = 101100010098953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100010101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119428441 + ... + 120271993.

It is an arithmetic number, because the mean of its divisors is an integer number (6617144629656).

Almost surely, 2^{101100010101001} is an apocalyptic number.

It is an amenable number.

101100010101001 is a deficient number, since it is larger than the sum of its proper divisors (4774303973495).

101100010101001 is a wasteful number, since it uses less digits than its factorization.

101100010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862272.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100010101001 its reverse (100101010001101), we get a palindrome (201201020102102).

The spelling of 101100010101001 in words is "one hundred one trillion, one hundred billion, ten million, one hundred one thousand, one".