101111001100001 has 8 divisors (see below), whose sum is σ = 102620311656864. Its totient is φ = 99601696164960.

The previous prime is 101111001099971. The next prime is 101111001100033. The reversal of 101111001100001 is 100001100111101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111001100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111009100001) 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, 47377706 + ... + 49465836.

It is an arithmetic number, because the mean of its divisors is an integer number (12827538957108).

Almost surely, 2^{101111001100001} is an apocalyptic number.

It is an amenable number.

101111001100001 is a deficient number, since it is larger than the sum of its proper divisors (1509310556863).

101111001100001 is an equidigital number, since it uses as much as digits as its factorization.

101111001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810911.

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

Adding to 101111001100001 its reverse (100001100111101), we get a palindrome (201112101211102).

The spelling of 101111001100001 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred thousand, one".