10121221211121 has 24 divisors (see below), whose sum is σ = 14754031269120. Its totient is φ = 6685411788000.

The previous prime is 10121221211111. The next prime is 10121221211131. The reversal of 10121221211121 is 12111212212101.

It is a happy number.

10121221211121 is a `hidden beast` number, since 101 + 212 + 21 + 211 + 121 = 666.

10121221211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10121221211111) and next prime (10121221211131).

It is not a de Polignac number, because 10121221211121 - 2⁷ = 10121221210993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121221211094 and 10121221211103.

It is not an unprimeable number, because it can be changed into a prime (10121221211111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49232896 + ... + 49438046.

It is an arithmetic number, because the mean of its divisors is an integer number (614751302880).

Almost surely, 2^{10121221211121} is an apocalyptic number.

It is an amenable number.

10121221211121 is a deficient number, since it is larger than the sum of its proper divisors (4632810057999).

10121221211121 is a wasteful number, since it uses less digits than its factorization.

10121221211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255557 (or 255554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10121221211121 its reverse (12111212212101), we get a palindrome (22232433423222).

The spelling of 10121221211121 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".