206221211115241 has 24 divisors (see below), whose sum is σ = 240429880215720. Its totient is φ = 176363265318912.

The previous prime is 206221211115193. The next prime is 206221211115263. The reversal of 206221211115241 is 142511112122602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67199071830016 + 139022139285225 = 8197504^2 + 11790765^2 .

It is not a de Polignac number, because 206221211115241 - 2²³ = 206221202726633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206221211115041) 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, 369855321 + ... + 370412473.

It is an arithmetic number, because the mean of its divisors is an integer number (10017911675655).

Almost surely, 2^{206221211115241} is an apocalyptic number.

It is an amenable number.

206221211115241 is a deficient number, since it is larger than the sum of its proper divisors (34208669100479).

206221211115241 is a wasteful number, since it uses less digits than its factorization.

206221211115241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574153 (or 574146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 206221211115241 its reverse (142511112122602), we get a palindrome (348732323237843).

The spelling of 206221211115241 in words is "two hundred six trillion, two hundred twenty-one billion, two hundred eleven million, one hundred fifteen thousand, two hundred forty-one".