111111001002001 has 32 divisors (see below), whose sum is σ = 149229035682048. Its totient is φ = 79895875184640.

The previous prime is 111111001001981. The next prime is 111111001002013. The reversal of 111111001002001 is 100200100111111.

It is a cyclic number.

It is not a de Polignac number, because 111111001002001 - 2²³ = 111110992613393 is a prime.

It is a super-4 number, since 4×111111001002001⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (111111001002041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13435876 + ... + 20068501.

It is an arithmetic number, because the mean of its divisors is an integer number (4663407365064).

Almost surely, 2^{111111001002001} is an apocalyptic number.

111111001002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111111001002001 is a deficient number, since it is larger than the sum of its proper divisors (38118034680047).

111111001002001 is a wasteful number, since it uses less digits than its factorization.

111111001002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33507721.

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

Adding to 111111001002001 its reverse (100200100111111), we get a palindrome (211311101113112).

The spelling of 111111001002001 in words is "one hundred eleven trillion, one hundred eleven billion, one million, two thousand, one".