11121011012111 has 64 divisors (see below), whose sum is σ = 15088769719296. Its totient is φ = 7915022438400.

The previous prime is 11121011012101. The next prime is 11121011012113.

11121011012111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11121011012111 - 2¹⁰ = 11121011011087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121011012113) 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 63 ways as a sum of consecutive naturals, for example, 653745596 + ... + 653762606.

It is an arithmetic number, because the mean of its divisors is an integer number (235762026864).

Almost surely, 2^{11121011012111} is an apocalyptic number.

11121011012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121011012111 is a deficient number, since it is larger than the sum of its proper divisors (3967758707185).

11121011012111 is a wasteful number, since it uses less digits than its factorization.

11121011012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23872.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1112101 and 1012111, that multiplied together give a palindrome (1125569655211).

The spelling of 11121011012111 in words is "eleven trillion, one hundred twenty-one billion, eleven million, twelve thousand, one hundred eleven".