205101121226320 has 160 divisors (see below), whose sum is σ = 539427629600640. Its totient is φ = 71839375104000.

The previous prime is 205101121226279. The next prime is 205101121226329. The reversal of 205101121226320 is 23622121101502.

It is a happy number.

It is a super-2 number, since 2×205101121226320² (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 (205101121226329) 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 31 ways as a sum of consecutive naturals, for example, 1198935 + ... + 20288905.

It is an arithmetic number, because the mean of its divisors is an integer number (3371422685004).

Almost surely, 2^{205101121226320} is an apocalyptic number.

205101121226320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205101121226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269713814800320).

205101121226320 is an abundant number, since it is smaller than the sum of its proper divisors (334326508374320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205101121226320 is a wasteful number, since it uses less digits than its factorization.

205101121226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19090445 (or 19090439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 205101121226320 its reverse (23622121101502), we get a palindrome (228723242327822).

The spelling of 205101121226320 in words is "two hundred five trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-six thousand, three hundred twenty".