101111011000001 has 8 divisors (see below), whose sum is σ = 103519821118464. Its totient is φ = 98712930548800.

The previous prime is 101111010999991. The next prime is 101111011000007. The reversal of 101111011000001 is 100000110111101.

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-101111011000001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101111011000007) 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, 2682397745 + ... + 2682435438.

It is an arithmetic number, because the mean of its divisors is an integer number (12939977639808).

Almost surely, 2^{101111011000001} is an apocalyptic number.

It is an amenable number.

101111011000001 is a deficient number, since it is larger than the sum of its proper divisors (2408810118463).

101111011000001 is an equidigital number, since it uses as much as digits as its factorization.

101111011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364833631.

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

Adding to 101111011000001 its reverse (100000110111101), we get a palindrome (201111121111102).

It can be divided in two parts, 10111101 and 1000001, that multiplied together give a palindrome (10111111111101).

The spelling of 101111011000001 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one", and thus it is an aban number.