111101101101001 has 8 divisors (see below), whose sum is σ = 121201439760000. Its totient is φ = 101000802201840.

The previous prime is 111101101100971. The next prime is 111101101101017. The reversal of 111101101101001 is 100101101101111.

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 a de Polignac number, because none of the positive numbers 2^k-111101101101001 is a prime.

It is a super-2 number, since 2×111101101101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111101101101901) 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, 3939841 + ... + 15418318.

It is an arithmetic number, because the mean of its divisors is an integer number (15150179970000).

Almost surely, 2^{111101101101001} is an apocalyptic number.

111101101101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101101101001 is a deficient number, since it is larger than the sum of its proper divisors (10100338658999).

111101101101001 is a wasteful number, since it uses less digits than its factorization.

111101101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19879919.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 111101101101001 its reverse (100101101101111), we get a palindrome (211202202202112).

The spelling of 111101101101001 in words is "one hundred eleven trillion, one hundred one billion, one hundred one million, one hundred one thousand, one".