21122210212101 has 24 divisors (see below), whose sum is σ = 33177652933464. Its totient is φ = 12894958218240.

The previous prime is 21122210212063. The next prime is 21122210212111. The reversal of 21122210212101 is 10121201222112.

21122210212101 is a `hidden beast` number, since 21 + 122 + 210 + 212 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17037486267201 + 4084723944900 = 4127649^2 + 2021070^2 .

It is not a de Polignac number, because 21122210212101 - 2⁴¹ = 18923186956549 is a prime.

It is a super-2 number, since 2×21122210212101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122210212111) 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, 1865584360 + ... + 1865595681.

It is an arithmetic number, because the mean of its divisors is an integer number (1382402205561).

Almost surely, 2^{21122210212101} is an apocalyptic number.

It is an amenable number.

21122210212101 is a deficient number, since it is larger than the sum of its proper divisors (12055442721363).

21122210212101 is a wasteful number, since it uses less digits than its factorization.

21122210212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731180101 (or 3731180098 counting only the distinct ones).

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

Adding to 21122210212101 its reverse (10121201222112), we get a palindrome (31243411434213).

The spelling of 21122210212101 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, one hundred one".