101011000110001 has 8 divisors (see below), whose sum is σ = 101077373464704. Its totient is φ = 100944640678800.

The previous prime is 101011000109969. The next prime is 101011000110043. The reversal of 101011000110001 is 100011000110101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101011000110001 - 2⁵ = 101011000109969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011000110101) 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 7 ways as a sum of consecutive naturals, for example, 11053240 + ... + 18005446.

It is an arithmetic number, because the mean of its divisors is an integer number (12634671683088).

Almost surely, 2^{101011000110001} is an apocalyptic number.

It is an amenable number.

101011000110001 is a deficient number, since it is larger than the sum of its proper divisors (66373354703).

101011000110001 is an equidigital number, since it uses as much as digits as its factorization.

101011000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961751.

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

Adding to 101011000110001 its reverse (100011000110101), we get a palindrome (201022000220102).

It can be divided in two parts, 10101 and 1000110001, that multiplied together give a palindrome (10102111120101).

The spelling of 101011000110001 in words is "one hundred one trillion, eleven billion, one hundred ten thousand, one".