101101110000001 has 8 divisors (see below), whose sum is σ = 101109324355200. Its totient is φ = 101092895977920.

The previous prime is 101101109999969. The next prime is 101101110000047. The reversal of 101101110000001 is 100000011101101.

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 101101110000001 - 2⁵ = 101101109999969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101110000071) 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 7 ways as a sum of consecutive naturals, for example, 1340274756 + ... + 1340350186.

It is an arithmetic number, because the mean of its divisors is an integer number (12638665544400).

Almost surely, 2^{101101110000001} is an apocalyptic number.

It is an amenable number.

101101110000001 is a deficient number, since it is larger than the sum of its proper divisors (8214355199).

101101110000001 is an equidigital number, since it uses as much as digits as its factorization.

101101110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166559.

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

Adding to 101101110000001 its reverse (100000011101101), we get a palindrome (201101121101102).

The spelling of 101101110000001 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one", and thus it is an aban number.