11121000111001 has 4 divisors (see below), whose sum is σ = 12132000121104. Its totient is φ = 10110000100900.

The previous prime is 11121000110981. The next prime is 11121000111049. The reversal of 11121000111001 is 10011100012111.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 11121000111001 - 2¹⁵ = 11121000078233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121000111901) 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 3 ways as a sum of consecutive naturals, for example, 505500005035 + ... + 505500005056.

It is an arithmetic number, because the mean of its divisors is an integer number (3033000030276).

Almost surely, 2^{11121000111001} is an apocalyptic number.

11121000111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121000111001 is a deficient number, since it is larger than the sum of its proper divisors (1011000010103).

11121000111001 is a wasteful number, since it uses less digits than its factorization.

11121000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011000010102.

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

Adding to 11121000111001 its reverse (10011100012111), we get a palindrome (21132100123112).

The spelling of 11121000111001 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven thousand, one".