111211221000121 has 48 divisors (see below), whose sum is σ = 126493657290000. Its totient is φ = 97633986560000.

The previous prime is 111211221000101. The next prime is 111211221000161. The reversal of 111211221000121 is 121000122112111.

It can be written as a sum of positive squares in 8 ways, for example, as 15620240540025 + 95590980460096 = 3952245^2 + 9777064^2 .

It is not a de Polignac number, because 111211221000121 - 2⁴³ = 102415127977913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111211221000095 and 111211221000104.

It is not an unprimeable number, because it can be changed into a prime (111211221000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149024755 + ... + 2149076503.

It is an arithmetic number, because the mean of its divisors is an integer number (2635284526875).

Almost surely, 2^{111211221000121} is an apocalyptic number.

111211221000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111211221000121 is a deficient number, since it is larger than the sum of its proper divisors (15282436289879).

111211221000121 is a wasteful number, since it uses less digits than its factorization.

111211221000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56202 (or 56191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111211221000121 its reverse (121000122112111), we get a palindrome (232211343112232).

The spelling of 111211221000121 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.