11212122111121 has 16 divisors (see below), whose sum is σ = 11808289042560. Its totient is φ = 10616561930880.

The previous prime is 11212122111109. The next prime is 11212122111133. The reversal of 11212122111121 is 12111122121211.

It is an interprime number because it is at equal distance from previous prime (11212122111109) and next prime (11212122111133).

It is a cyclic number.

It is not a de Polignac number, because 11212122111121 - 2⁷ = 11212122110993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11212122111101) 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 15 ways as a sum of consecutive naturals, for example, 533468205 + ... + 533489221.

It is an arithmetic number, because the mean of its divisors is an integer number (738018065160).

Almost surely, 2^{11212122111121} is an apocalyptic number.

It is an amenable number.

11212122111121 is a deficient number, since it is larger than the sum of its proper divisors (596166931439).

11212122111121 is a wasteful number, since it uses less digits than its factorization.

11212122111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34104.

The product of its digits is 32, while the sum is 19.

Adding to 11212122111121 its reverse (12111122121211), we get a palindrome (23323244232332).

The spelling of 11212122111121 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".