101110101000001 has 8 divisors (see below), whose sum is σ = 103535516347200. Its totient is φ = 98703858897072.

The previous prime is 101110100999989. The next prime is 101110101000079. The reversal of 101110101000001 is 100000101011101.

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 101110101000001 - 2¹⁵ = 101110100967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110101001001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4793300395 + ... + 4793321488.

It is an arithmetic number, because the mean of its divisors is an integer number (12941939543400).

Almost surely, 2^{101110101000001} is an apocalyptic number.

It is an amenable number.

101110101000001 is a deficient number, since it is larger than the sum of its proper divisors (2425415347199).

101110101000001 is an equidigital number, since it uses as much as digits as its factorization.

101110101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586622135.

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

Adding to 101110101000001 its reverse (100000101011101), we get a palindrome (201110202011102).

The spelling of 101110101000001 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one", and thus it is an aban number.