111100121001 has 48 divisors (see below), whose sum is σ = 170305527808. Its totient is φ = 69669072000.

The previous prime is 111100120973. The next prime is 111100121021. The reversal of 111100121001 is 100121001111.

It is not a de Polignac number, because 111100121001 - 2⁹ = 111100120489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111100121021) 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, 11216151 + ... + 11226051.

Almost surely, 2^111100121001 is an apocalyptic number.

It is an amenable number.

111100121001 is a deficient number, since it is larger than the sum of its proper divisors (59205406807).

111100121001 is a wasteful number, since it uses less digits than its factorization.

111100121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11059 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111100121001 its reverse (100121001111), we get a palindrome (211221122112).

It can be divided in two parts, 111 and 100121001, that multiplied together give a palindrome (11113431111).

The spelling of 111100121001 in words is "one hundred eleven billion, one hundred million, one hundred twenty-one thousand, one".