1121000110011 has 64 divisors (see below), whose sum is σ = 1701913804800. Its totient is φ = 738188082720.

The previous prime is 1121000110007. The next prime is 1121000110019. The reversal of 1121000110011 is 1100110001211.

It is not a de Polignac number, because 1121000110011 - 2² = 1121000110007 is a prime.

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

1121000110011 is a modest number, since divided by 110011 gives 11210 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1121000109975 and 1121000110002.

It is not an unprimeable number, because it can be changed into a prime (1121000110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78897670 + ... + 78911876.

It is an arithmetic number, because the mean of its divisors is an integer number (26592403200).

Almost surely, 2^{1121000110011} is an apocalyptic number.

1121000110011 is a deficient number, since it is larger than the sum of its proper divisors (580913694789).

1121000110011 is an equidigital number, since it uses as much as digits as its factorization.

1121000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 14650 counting only the distinct ones).

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

Adding to 1121000110011 its reverse (1100110001211), we get a palindrome (2221110111222).

The spelling of 1121000110011 in words is "one trillion, one hundred twenty-one billion, one hundred ten thousand, eleven".