20122122100221 has 48 divisors (see below), whose sum is σ = 29236745366400. Its totient is φ = 13335870513024.

The previous prime is 20122122100189. The next prime is 20122122100277. The reversal of 20122122100221 is 12200122122102.

It is a happy number.

20122122100221 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 221 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 20122122100221 - 2⁵ = 20122122100189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20122122100194 and 20122122100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122122102221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2264215440 + ... + 2264224326.

It is an arithmetic number, because the mean of its divisors is an integer number (609098861800).

Almost surely, 2^{20122122100221} is an apocalyptic number.

It is an amenable number.

20122122100221 is a deficient number, since it is larger than the sum of its proper divisors (9114623266179).

20122122100221 is a wasteful number, since it uses less digits than its factorization.

20122122100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122122100221 its reverse (12200122122102), we get a palindrome (32322244222323).

The spelling of 20122122100221 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-one".