111101000000001 has 16 divisors (see below), whose sum is σ = 161601661191168. Its totient is φ = 67333853291600.

The previous prime is 111100999999981. The next prime is 111101000000069. The reversal of 111101000000001 is 100000000101111.

It is a cyclic number.

It is not a de Polignac number, because 111101000000001 - 2²² = 111100995805697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111101000000101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32252980 + ... + 35531066.

It is an arithmetic number, because the mean of its divisors is an integer number (10100103824448).

Almost surely, 2^{111101000000001} is an apocalyptic number.

111101000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101000000001 is a deficient number, since it is larger than the sum of its proper divisors (50500661191167).

111101000000001 is a wasteful number, since it uses less digits than its factorization.

111101000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305132.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111101000000001 its reverse (100000000101111), we get a palindrome (211101000101112).

The spelling of 111101000000001 in words is "one hundred eleven trillion, one hundred one billion, one", and thus it is an aban number.