261101222101201 has 2 divisors, whose sum is σ = 261101222101202. Its totient is φ = 261101222101200.

The previous prime is 261101222101063. The next prime is 261101222101231. The reversal of 261101222101201 is 102101222101162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235628609339601 + 25472612761600 = 15350199^2 + 5047040^2 .

It is a cyclic number.

It is not a de Polignac number, because 261101222101201 - 2⁹ = 261101222100689 is a prime.

It is not a weakly prime, because it can be changed into another prime (261101222101231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130550611050600 + 130550611050601.

It is an arithmetic number, because the mean of its divisors is an integer number (130550611050601).

Almost surely, 2^{261101222101201} is an apocalyptic number.

It is an amenable number.

261101222101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

261101222101201 is an equidigital number, since it uses as much as digits as its factorization.

261101222101201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 261101222101201 its reverse (102101222101162), we get a palindrome (363202444202363).

The spelling of 261101222101201 in words is "two hundred sixty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, two hundred one".