201221021221101 has 24 divisors (see below), whose sum is σ = 332407162511424. Its totient is φ = 114902863603200.

The previous prime is 201221021221057. The next prime is 201221021221127. The reversal of 201221021221101 is 101122120122102.

201221021221101 is a `hidden beast` number, since 20 + 1 + 221 + 0 + 212 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 201221021221101 - 2⁹ = 201221021220589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221021221501) 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, 1119035700 + ... + 1119215501.

It is an arithmetic number, because the mean of its divisors is an integer number (13850298437976).

Almost surely, 2^{201221021221101} is an apocalyptic number.

201221021221101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201221021221101 is a deficient number, since it is larger than the sum of its proper divisors (131186141290323).

201221021221101 is a wasteful number, since it uses less digits than its factorization.

201221021221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238252641 (or 2238252638 counting only the distinct ones).

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

Adding to 201221021221101 its reverse (101122120122102), we get a palindrome (302343141343203).

The spelling of 201221021221101 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, one hundred one".