10221221102121 has 20 divisors (see below), whose sum is σ = 15268829628052. Its totient is φ = 6814106373888.

The previous prime is 10221221102083. The next prime is 10221221102137. The reversal of 10221221102121 is 12120112212201.

10221221102121 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 10 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6141673497600 + 4079547604521 = 2478240^2 + 2019789^2 .

It is not a de Polignac number, because 10221221102121 - 2¹³ = 10221221093929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221221102094 and 10221221102103.

It is not an unprimeable number, because it can be changed into a prime (10221221104121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19608561 + ... + 20123073.

Almost surely, 2^{10221221102121} is an apocalyptic number.

It is an amenable number.

10221221102121 is a deficient number, since it is larger than the sum of its proper divisors (5047608525931).

10221221102121 is an equidigital number, since it uses as much as digits as its factorization.

10221221102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759782 (or 759773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221221102121 its reverse (12120112212201), we get a palindrome (22341333314322).

The spelling of 10221221102121 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty-one".