111121110001 has 24 divisors (see below), whose sum is σ = 126486482472. Its totient is φ = 97488019200.

The previous prime is 111121109999. The next prime is 111121110019. The reversal of 111121110001 is 100011121111.

It can be written as a sum of positive squares in 4 ways, for example, as 142181776 + 110978928225 = 11924^2 + 333135^2 .

It is not a de Polignac number, because 111121110001 - 2¹ = 111121109999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111121110001.

It is not an unprimeable number, because it can be changed into a prime (111121110091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249165 + ... + 533221.

It is an arithmetic number, because the mean of its divisors is an integer number (5270270103).

Almost surely, 2^111121110001 is an apocalyptic number.

111121110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111121110001 is a deficient number, since it is larger than the sum of its proper divisors (15365372471).

111121110001 is a wasteful number, since it uses less digits than its factorization.

111121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284193 (or 284182 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111121110001 its reverse (100011121111), we get a palindrome (211132231112).

It can be divided in two parts, 111121 and 110001, that added together give a palindrome (221122).

The spelling of 111121110001 in words is "one hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, one".