101100000000001 has 8 divisors (see below), whose sum is σ = 106421409355520. Its totient is φ = 95778626316912.

The previous prime is 101099999999987. The next prime is 101100000000007. The reversal of 101100000000001 is 100000000001101.

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 101100000000001 - 2¹⁵ = 101099999967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100000000007) 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 7 ways as a sum of consecutive naturals, for example, 2999985 + ... + 14532718.

It is an arithmetic number, because the mean of its divisors is an integer number (13302676169440).

Almost surely, 2^{101100000000001} is an apocalyptic number.

It is an amenable number.

101100000000001 is a deficient number, since it is larger than the sum of its proper divisors (5321409355519).

101100000000001 is a wasteful number, since it uses less digits than its factorization.

101100000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836215.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101100000000001 its reverse (100000000001101), we get a palindrome (201100000001102).

It can be divided in two parts, 101 and 100000000001, that multiplied together give a palindrome (10100000000101).

The spelling of 101100000000001 in words is "one hundred one trillion, one hundred billion, one", and thus it is an aban number.