10122111022221 has 24 divisors (see below), whose sum is σ = 16482898884480. Its totient is φ = 6134612738760.

The previous prime is 10122111022189. The next prime is 10122111022223. The reversal of 10122111022221 is 12222011122101.

It is not a de Polignac number, because 10122111022221 - 2⁵ = 10122111022189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122111022194 and 10122111022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122111022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549141365 + ... + 1549147898.

It is an arithmetic number, because the mean of its divisors is an integer number (686787453520).

Almost surely, 2^{10122111022221} is an apocalyptic number.

10122111022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122111022221 is a deficient number, since it is larger than the sum of its proper divisors (6360787862259).

10122111022221 is a wasteful number, since it uses less digits than its factorization.

10122111022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098289294 (or 3098289277 counting only the distinct ones).

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

Adding to 10122111022221 its reverse (12222011122101), we get a palindrome (22344122144322).

The spelling of 10122111022221 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, two hundred twenty-one".