101111001000001 has 8 divisors (see below), whose sum is σ = 108907810135520. Its totient is φ = 93561709614912.

The previous prime is 101111000999951. The next prime is 101111001000007. The reversal of 101111001000001 is 100000100111101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101111001000001 - 2²⁹ = 101110464129089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111001000007) 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, 61879436760 + ... + 61879438393.

It is an arithmetic number, because the mean of its divisors is an integer number (13613476266940).

Almost surely, 2^{101111001000001} is an apocalyptic number.

It is an amenable number.

101111001000001 is a deficient number, since it is larger than the sum of its proper divisors (7796809135519).

101111001000001 is a wasteful number, since it uses less digits than its factorization.

101111001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123758875215.

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

Adding to 101111001000001 its reverse (100000100111101), we get a palindrome (201111101111102).

The spelling of 101111001000001 in words is "one hundred one trillion, one hundred eleven billion, one million, one", and thus it is an aban number.