111101012001 has 24 divisors (see below), whose sum is σ = 183415930880. Its totient is φ = 63482455296.

The previous prime is 111101011949. The next prime is 111101012047. The reversal of 111101012001 is 100210101111.

It is not a de Polignac number, because 111101012001 - 2¹¹ = 111101009953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111101011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247121 + ... + 1333233.

Almost surely, 2^111101012001 is an apocalyptic number.

It is an amenable number.

111101012001 is a deficient number, since it is larger than the sum of its proper divisors (72314918879).

111101012001 is a wasteful number, since it uses less digits than its factorization.

111101012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106605 (or 106602 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111101012001 its reverse (100210101111), we get a palindrome (211311113112).

The spelling of 111101012001 in words is "one hundred eleven billion, one hundred one million, twelve thousand, one".