10122220012221 has 24 divisors (see below), whose sum is σ = 14766188676096. Its totient is φ = 6681133346400.

The previous prime is 10122220012199. The next prime is 10122220012271. The reversal of 10122220012221 is 12221002222101.

It is a happy number.

10122220012221 is a `hidden beast` number, since 10 + 1 + 222 + 200 + 12 + 221 = 666.

It is not a de Polignac number, because 10122220012221 - 2²⁹ = 10121683141309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122220012194 and 10122220012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122220012271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34087836 + ... + 34383498.

It is an arithmetic number, because the mean of its divisors is an integer number (615257861504).

Almost surely, 2^{10122220012221} is an apocalyptic number.

It is an amenable number.

10122220012221 is a deficient number, since it is larger than the sum of its proper divisors (4643968663875).

10122220012221 is a wasteful number, since it uses less digits than its factorization.

10122220012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333433 (or 333430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122220012221 its reverse (12221002222101), we get a palindrome (22343222234322).

The spelling of 10122220012221 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty million, twelve thousand, two hundred twenty-one".