10121220111121 has 16 divisors (see below), whose sum is σ = 11573849548800. Its totient is φ = 8670276789840.

The previous prime is 10121220111089. The next prime is 10121220111151. The reversal of 10121220111121 is 12111102212101.

10121220111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121220111121 - 2⁵ = 10121220111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121220111095 and 10121220111104.

It is not an unprimeable number, because it can be changed into a prime (10121220111151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162870226 + ... + 162932356.

It is an arithmetic number, because the mean of its divisors is an integer number (723365596800).

Almost surely, 2^{10121220111121} is an apocalyptic number.

It is an amenable number.

10121220111121 is a deficient number, since it is larger than the sum of its proper divisors (1452629437679).

10121220111121 is a wasteful number, since it uses less digits than its factorization.

10121220111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75324.

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

Adding to 10121220111121 its reverse (12111102212101), we get a palindrome (22232322323222).

The spelling of 10121220111121 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty-one".