11121201011 has 12 divisors (see below), whose sum is σ = 11764606392. Its totient is φ = 10511394624.

The previous prime is 11121200957. The next prime is 11121201023. The reversal of 11121201011 is 11010212111.

11121201011 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 11121201011 - 2¹⁸ = 11120938867 is a prime.

It is a super-2 number, since 2×11121201011² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121200983 and 11121201001.

It is not an unprimeable number, because it can be changed into a prime (11121201041) 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 11 ways as a sum of consecutive naturals, for example, 120740 + ... + 191886.

It is an arithmetic number, because the mean of its divisors is an integer number (980383866).

Almost surely, 2^11121201011 is an apocalyptic number.

11121201011 is a deficient number, since it is larger than the sum of its proper divisors (643405381).

11121201011 is an equidigital number, since it uses as much as digits as its factorization.

11121201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71618 (or 71599 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11121201011 its reverse (11010212111), we get a palindrome (22131413122).

The spelling of 11121201011 in words is "eleven billion, one hundred twenty-one million, two hundred one thousand, eleven".