101011100001101 has 32 divisors (see below), whose sum is σ = 102956401416960. Its totient is φ = 99087488640000.

The previous prime is 101011100001047. The next prime is 101011100001169. The reversal of 101011100001101 is 101100001110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011100001101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011100001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27880511576 + ... + 27880515198.

It is an arithmetic number, because the mean of its divisors is an integer number (3217387544280).

Almost surely, 2^{101011100001101} is an apocalyptic number.

It is an amenable number.

101011100001101 is a deficient number, since it is larger than the sum of its proper divisors (1945301415859).

101011100001101 is a wasteful number, since it uses less digits than its factorization.

101011100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397.

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

Adding to 101011100001101 its reverse (101100001110101), we get a palindrome (202111101111202).

The spelling of 101011100001101 in words is "one hundred one trillion, eleven billion, one hundred million, one thousand, one hundred one".