10221112012121 has 16 divisors (see below), whose sum is σ = 10802065789440. Its totient is φ = 9655529042880.

The previous prime is 10221112012099. The next prime is 10221112012123. The reversal of 10221112012121 is 12121021112201.

It is a cyclic number.

It is not a de Polignac number, because 10221112012121 - 2²⁶ = 10221044903257 is a prime.

It is a super-3 number, since 3×10221112012121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221112012121.

It is not an unprimeable number, because it can be changed into a prime (10221112012123) 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, 2947220 + ... + 5397066.

It is an arithmetic number, because the mean of its divisors is an integer number (675129111840).

Almost surely, 2^{10221112012121} is an apocalyptic number.

It is an amenable number.

10221112012121 is a deficient number, since it is larger than the sum of its proper divisors (580953777319).

10221112012121 is a wasteful number, since it uses less digits than its factorization.

10221112012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452984.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221112012121 its reverse (12121021112201), we get a palindrome (22342133124322).

The spelling of 10221112012121 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred twenty-one".