10121121112221 has 24 divisors (see below), whose sum is σ = 16757460792384. Its totient is φ = 5766336051840.

The previous prime is 10121121112199. The next prime is 10121121112247. The reversal of 10121121112221 is 12221112112101.

It is a happy number.

10121121112221 is a `hidden beast` number, since 10 + 1 + 211 + 211 + 12 + 221 = 666.

It is not a de Polignac number, because 10121121112221 - 2¹⁷ = 10121120981149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121121112194 and 10121121112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238335915 + ... + 238378376.

It is an arithmetic number, because the mean of its divisors is an integer number (698227533016).

Almost surely, 2^{10121121112221} is an apocalyptic number.

It is an amenable number.

10121121112221 is a deficient number, since it is larger than the sum of its proper divisors (6636339680163).

10121121112221 is a wasteful number, since it uses less digits than its factorization.

10121121112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476714641 (or 476714638 counting only the distinct ones).

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

Adding to 10121121112221 its reverse (12221112112101), we get a palindrome (22342233224322).

The spelling of 10121121112221 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".