205013221101 has 56 divisors (see below), whose sum is σ = 333218310656. Its totient is φ = 125325597600.

The previous prime is 205013221087. The next prime is 205013221129. The reversal of 205013221101 is 101122310502.

205013221101 is a `hidden beast` number, since 20 + 501 + 32 + 2 + 110 + 1 = 666.

It is not a de Polignac number, because 205013221101 - 2²³ = 205004832493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205013222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1359396 + ... + 1502658.

It is an arithmetic number, because the mean of its divisors is an integer number (5950326976).

Almost surely, 2^205013221101 is an apocalyptic number.

It is an amenable number.

205013221101 is a deficient number, since it is larger than the sum of its proper divisors (128205089555).

205013221101 is a wasteful number, since it uses less digits than its factorization.

205013221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143445 (or 143430 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 205013221101 its reverse (101122310502), we get a palindrome (306135531603).

The spelling of 205013221101 in words is "two hundred five billion, thirteen million, two hundred twenty-one thousand, one hundred one".