10121222111121 has 96 divisors (see below), whose sum is σ = 16404374278656. Its totient is φ = 5960037888000.

The previous prime is 10121222111107. The next prime is 10121222111173. The reversal of 10121222111121 is 12111122212101.

It is a happy number.

10121222111121 is a `hidden beast` number, since 101 + 212 + 221 + 11 + 121 = 666.

It is not a de Polignac number, because 10121222111121 - 2¹⁷ = 10121221980049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121222111094 and 10121222111103.

It is not an unprimeable number, because it can be changed into a prime (10121222112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1396604920 + ... + 1396612166.

It is an arithmetic number, because the mean of its divisors is an integer number (170878898736).

Almost surely, 2^{10121222111121} is an apocalyptic number.

10121222111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121222111121 is a deficient number, since it is larger than the sum of its proper divisors (6283152167535).

10121222111121 is a wasteful number, since it uses less digits than its factorization.

10121222111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8660 counting only the distinct ones).

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

Adding to 10121222111121 its reverse (12111122212101), we get a palindrome (22232344323222).

The spelling of 10121222111121 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".