211134044121 has 64 divisors (see below), whose sum is σ = 378093090816. Its totient is φ = 101211264000.

The previous prime is 211134044117. The next prime is 211134044227. The reversal of 211134044121 is 121440431112.

It is a happy number.

211134044121 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 211134044121 - 2² = 211134044117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211134044091 and 211134044100.

It is not an unprimeable number, because it can be changed into a prime (211134044921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11555425 + ... + 11573681.

It is an arithmetic number, because the mean of its divisors is an integer number (5907704544).

Almost surely, 2^211134044121 is an apocalyptic number.

211134044121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211134044121 is a deficient number, since it is larger than the sum of its proper divisors (166959046695).

211134044121 is a wasteful number, since it uses less digits than its factorization.

211134044121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211134044121 its reverse (121440431112), we get a palindrome (332574475233).

The spelling of 211134044121 in words is "two hundred eleven billion, one hundred thirty-four million, forty-four thousand, one hundred twenty-one".