10221122212121 has 4 divisors (see below), whose sum is σ = 10222208073252. Its totient is φ = 10220036350992.

The previous prime is 10221122212099. The next prime is 10221122212127. The reversal of 10221122212121 is 12121222112201.

10221122212121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10145021265625 + 76100946496 = 3185125^2 + 275864^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221122212121 - 2⁶ = 10221122212057 is a prime.

It is a super-2 number, since 2×10221122212121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221122212093 and 10221122212102.

It is not an unprimeable number, because it can be changed into a prime (10221122212127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 542916446 + ... + 542935271.

It is an arithmetic number, because the mean of its divisors is an integer number (2555552018313).

Almost surely, 2^{10221122212121} is an apocalyptic number.

It is an amenable number.

10221122212121 is a deficient number, since it is larger than the sum of its proper divisors (1085861131).

10221122212121 is an equidigital number, since it uses as much as digits as its factorization.

10221122212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085861130.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10221122212121 its reverse (12121222112201), we get a palindrome (22342344324322).

The spelling of 10221122212121 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".