201221111101101 has 16 divisors (see below), whose sum is σ = 330209002833024. Its totient is φ = 106138608053184.

The previous prime is 201221111101093. The next prime is 201221111101187. The reversal of 201221111101101 is 101101111122102.

201221111101101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201221111101101 - 2³ = 201221111101093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221111101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368536833246 + ... + 368536833791.

It is an arithmetic number, because the mean of its divisors is an integer number (20638062677064).

Almost surely, 2^{201221111101101} is an apocalyptic number.

201221111101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201221111101101 is a deficient number, since it is larger than the sum of its proper divisors (128987891731923).

201221111101101 is a wasteful number, since it uses less digits than its factorization.

201221111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737073667060.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201221111101101 its reverse (101101111122102), we get a palindrome (302322222223203).

The spelling of 201221111101101 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred one thousand, one hundred one".