20110101221221 has 16 divisors (see below), whose sum is σ = 22701566917440. Its totient is φ = 17646224740480.

The previous prime is 20110101221213. The next prime is 20110101221267. The reversal of 20110101221221 is 12212210101102.

It is a cyclic number.

It is not a de Polignac number, because 20110101221221 - 2³ = 20110101221213 is a prime.

It is a super-3 number, since 3×20110101221221³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20110101221195 and 20110101221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110101221201) 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 15 ways as a sum of consecutive naturals, for example, 8349856 + ... + 10485241.

It is an arithmetic number, because the mean of its divisors is an integer number (1418847932340).

Almost surely, 2^{20110101221221} is an apocalyptic number.

It is an amenable number.

20110101221221 is a deficient number, since it is larger than the sum of its proper divisors (2591465696219).

20110101221221 is a wasteful number, since it uses less digits than its factorization.

20110101221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838484.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20110101221221 its reverse (12212210101102), we get a palindrome (32322311322323).

The spelling of 20110101221221 in words is "twenty trillion, one hundred ten billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty-one".