101110110010001 has 64 divisors (see below), whose sum is σ = 108154393344000. Its totient is φ = 94421199015936.

The previous prime is 101110110009977. The next prime is 101110110010043. The reversal of 101110110010001 is 100010011011101.

It is a cyclic number.

It is not a de Polignac number, because 101110110010001 - 2¹⁰ = 101110110008977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110110210001) 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 63 ways as a sum of consecutive naturals, for example, 3711947540 + ... + 3711974778.

It is an arithmetic number, because the mean of its divisors is an integer number (1689912396000).

Almost surely, 2^{101110110010001} is an apocalyptic number.

It is an amenable number.

101110110010001 is a deficient number, since it is larger than the sum of its proper divisors (7044283333999).

101110110010001 is a wasteful number, since it uses less digits than its factorization.

101110110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27698.

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

Adding to 101110110010001 its reverse (100010011011101), we get a palindrome (201120121021102).

It can be divided in two parts, 1011101100 and 10001, that added together give a palindrome (1011111101).

The spelling of 101110110010001 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, ten thousand, one".