101101111000001 has 32 divisors (see below), whose sum is σ = 118476808040448. Its totient is φ = 84467137345920.

The previous prime is 101101110999979. The next prime is 101101111000039. The reversal of 101101111000001 is 100000111101101.

It is a de Polignac number, because none of the positive numbers 2^k-101101111000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101111000051) 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, 284348906 + ... + 284704236.

It is an arithmetic number, because the mean of its divisors is an integer number (3702400251264).

Almost surely, 2^{101101111000001} is an apocalyptic number.

It is an amenable number.

101101111000001 is a deficient number, since it is larger than the sum of its proper divisors (17375697040447).

101101111000001 is a wasteful number, since it uses less digits than its factorization.

101101111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357341.

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

Adding to 101101111000001 its reverse (100000111101101), we get a palindrome (201101222101102).

The spelling of 101101111000001 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one", and thus it is an aban number.