11121002011 has 16 divisors (see below), whose sum is σ = 12845246400. Its totient is φ = 9430944768.

The previous prime is 11121001987. The next prime is 11121002017. The reversal of 11121002011 is 11020012111.

11121002011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11121002011 - 2¹⁷ = 11120870939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121002017) 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 15 ways as a sum of consecutive naturals, for example, 437725 + ... + 462433.

It is an arithmetic number, because the mean of its divisors is an integer number (802827900).

Almost surely, 2^11121002011 is an apocalyptic number.

11121002011 is a deficient number, since it is larger than the sum of its proper divisors (1724244389).

11121002011 is a wasteful number, since it uses less digits than its factorization.

11121002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25398.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11121002011 its reverse (11020012111), we get a palindrome (22141014122).

It can be divided in two parts, 1112100 and 2011, that added together give a palindrome (1114111).

The spelling of 11121002011 in words is "eleven billion, one hundred twenty-one million, two thousand, eleven".