21222122101101 has 24 divisors (see below), whose sum is σ = 31898012983200. Its totient is φ = 14099794386192.

The previous prime is 21222122101079. The next prime is 21222122101111. The reversal of 21222122101101 is 10110122122212.

21222122101101 is a `hidden beast` number, since 212 + 221 + 221 + 0 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 21222122101101 - 2⁵ = 21222122101069 is a prime.

It is a super-3 number, since 3×21222122101101³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222122101111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148962651 + ... + 149105048.

It is an arithmetic number, because the mean of its divisors is an integer number (1329083874300).

Almost surely, 2^{21222122101101} is an apocalyptic number.

It is an amenable number.

21222122101101 is a deficient number, since it is larger than the sum of its proper divisors (10675890882099).

21222122101101 is an equidigital number, since it uses as much as digits as its factorization.

21222122101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298068007 (or 298067995 counting only the distinct ones).

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

Adding to 21222122101101 its reverse (10110122122212), we get a palindrome (31332244223313).

The spelling of 21222122101101 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred one".