111001011001001 has 48 divisors (see below), whose sum is σ = 136137888722304. Its totient is φ = 89945359680000.

The previous prime is 111001011000983. The next prime is 111001011001009. The reversal of 111001011001001 is 100100110100111.

It is a de Polignac number, because none of the positive numbers 2^k-111001011001001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111001011001001.

It is not an unprimeable number, because it can be changed into a prime (111001011001009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6836435 + ... + 16393256.

It is an arithmetic number, because the mean of its divisors is an integer number (2836206015048).

Almost surely, 2^{111001011001001} is an apocalyptic number.

111001011001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001011001001 is a deficient number, since it is larger than the sum of its proper divisors (25136877721303).

111001011001001 is a wasteful number, since it uses less digits than its factorization.

111001011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23229854 (or 23229843 counting only the distinct ones).

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

Adding to 111001011001001 its reverse (100100110100111), we get a palindrome (211101121101112).

The spelling of 111001011001001 in words is "one hundred eleven trillion, one billion, eleven million, one thousand, one".