101122012021221 has 12 divisors (see below), whose sum is σ = 146126474633100. Its totient is φ = 67386361069440.

The previous prime is 101122012021193. The next prime is 101122012021241. The reversal of 101122012021221 is 122120210221101.

101122012021221 is a `hidden beast` number, since 10 + 11 + 220 + 1 + 202 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9764468784225 + 91357543236996 = 3124815^2 + 9558114^2 .

It is not a de Polignac number, because 101122012021221 - 2⁶ = 101122012021157 is a prime.

It is a super-2 number, since 2×101122012021221² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101122012021194 and 101122012021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122012021241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2359444996 + ... + 2359487853.

It is an arithmetic number, because the mean of its divisors is an integer number (12177206219425).

Almost surely, 2^{101122012021221} is an apocalyptic number.

It is an amenable number.

101122012021221 is a deficient number, since it is larger than the sum of its proper divisors (45004462611879).

101122012021221 is a wasteful number, since it uses less digits than its factorization.

101122012021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718935236 (or 4718935233 counting only the distinct ones).

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

Adding to 101122012021221 its reverse (122120210221101), we get a palindrome (223242222242322).

The spelling of 101122012021221 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, twenty-one thousand, two hundred twenty-one".