111001001111121 has 32 divisors (see below), whose sum is σ = 161556028927488. Its totient is φ = 67231662746240.

The previous prime is 111001001111071. The next prime is 111001001111153. The reversal of 111001001111121 is 121111100100111.

It is a cyclic number.

It is not a de Polignac number, because 111001001111121 - 2⁶ = 111001001111057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001001111097 and 111001001111106.

It is not an unprimeable number, because it can be changed into a prime (111001001111521) 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, 709342930 + ... + 709499396.

It is an arithmetic number, because the mean of its divisors is an integer number (5048625903984).

Almost surely, 2^{111001001111121} is an apocalyptic number.

111001001111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001001111121 is a deficient number, since it is larger than the sum of its proper divisors (50555027816367).

111001001111121 is a wasteful number, since it uses less digits than its factorization.

111001001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169661.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 111001001111121 its reverse (121111100100111), we get a palindrome (232112101211232).

It can be divided in two parts, 11100100 and 1111121, that added together give a palindrome (12211221).

The spelling of 111001001111121 in words is "one hundred eleven trillion, one billion, one million, one hundred eleven thousand, one hundred twenty-one".