491101101101201 has 2 divisors, whose sum is σ = 491101101101202. Its totient is φ = 491101101101200.

The previous prime is 491101101101189. The next prime is 491101101101239. The reversal of 491101101101201 is 102101101101194.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358881804318976 + 132219296782225 = 18944176^2 + 11498665^2 .

It is a cyclic number.

It is not a de Polignac number, because 491101101101201 - 2¹⁴ = 491101101084817 is a prime.

It is not a weakly prime, because it can be changed into another prime (491101101101701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 245550550550600 + 245550550550601.

It is an arithmetic number, because the mean of its divisors is an integer number (245550550550601).

Almost surely, 2^{491101101101201} is an apocalyptic number.

It is an amenable number.

491101101101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

491101101101201 is an equidigital number, since it uses as much as digits as its factorization.

491101101101201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

Adding to 491101101101201 its reverse (102101101101194), we get a palindrome (593202202202395).

The spelling of 491101101101201 in words is "four hundred ninety-one trillion, one hundred one billion, one hundred one million, one hundred one thousand, two hundred one".