11121011011011 has 32 divisors (see below), whose sum is σ = 16519727554560. Its totient is φ = 6598293152000.

The previous prime is 11121011011003. The next prime is 11121011011013. The reversal of 11121011011011 is 11011011012111.

It is not a de Polignac number, because 11121011011011 - 2³ = 11121011011003 is a prime.

11121011011011 is a modest number, since divided by 11011011 gives 11121 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11121011011013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18448515 + ... + 19041788.

It is an arithmetic number, because the mean of its divisors is an integer number (516241486080).

Almost surely, 2^{11121011011011} is an apocalyptic number.

11121011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121011011011 is a deficient number, since it is larger than the sum of its proper divisors (5398716543549).

11121011011011 is a wasteful number, since it uses less digits than its factorization.

11121011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37490507.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11121011011011 its reverse (11011011012111), we get a palindrome (22132022023122).

The spelling of 11121011011011 in words is "eleven trillion, one hundred twenty-one billion, eleven million, eleven thousand, eleven".