10122111222221 has 8 divisors (see below), whose sum is σ = 10174273965720. Its totient is φ = 10070017708608.

The previous prime is 10122111222217. The next prime is 10122111222227. The reversal of 10122111222221 is 12222211122101.

It can be written as a sum of positive squares in 4 ways, for example, as 7780690993321 + 2341420228900 = 2789389^2 + 1530170^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122111222221 - 2² = 10122111222217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122111222193 and 10122111222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122111222227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17014286 + ... + 17599151.

It is an arithmetic number, because the mean of its divisors is an integer number (1271784245715).

Almost surely, 2^{10122111222221} is an apocalyptic number.

It is an amenable number.

10122111222221 is a deficient number, since it is larger than the sum of its proper divisors (52162743499).

10122111222221 is a wasteful number, since it uses less digits than its factorization.

10122111222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34614943.

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

Adding to 10122111222221 its reverse (12222211122101), we get a palindrome (22344322344322).

The spelling of 10122111222221 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred twenty-one".