211220201221101 has 12 divisors (see below), whose sum is σ = 308116597162140. Its totient is φ = 139419274732800.

The previous prime is 211220201221091. The next prime is 211220201221163. The reversal of 211220201221101 is 101122102022112.

211220201221101 is a `hidden beast` number, since 2 + 11 + 220 + 201 + 221 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156452815772100 + 54767385449001 = 12508110^2 + 7400499^2 .

It is not a de Polignac number, because 211220201221101 - 2³³ = 211211611286509 is a prime.

It is a super-2 number, since 2×211220201221101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220201221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116182728036 + ... + 116182729853.

It is an arithmetic number, because the mean of its divisors is an integer number (25676383096845).

Almost surely, 2^{211220201221101} is an apocalyptic number.

It is an amenable number.

211220201221101 is a deficient number, since it is larger than the sum of its proper divisors (96896395941039).

211220201221101 is a wasteful number, since it uses less digits than its factorization.

211220201221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232365457996 (or 232365457993 counting only the distinct ones).

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

Adding to 211220201221101 its reverse (101122102022112), we get a palindrome (312342303243213).

The spelling of 211220201221101 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred one million, two hundred twenty-one thousand, one hundred one".