101101120201 has 2 divisors, whose sum is σ = 101101120202. Its totient is φ = 101101120200.

The previous prime is 101101120199. The next prime is 101101120213. The reversal of 101101120201 is 102021101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61011470025 + 40089650176 = 247005^2 + 200224^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101120201 - 2¹ = 101101120199 is a prime.

Together with 101101120199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101101120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550560100 + 50550560101.

It is an arithmetic number, because the mean of its divisors is an integer number (50550560101).

Almost surely, 2^101101120201 is an apocalyptic number.

It is an amenable number.

101101120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101120201 is an equidigital number, since it uses as much as digits as its factorization.

101101120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101120201 its reverse (102021101101), we get a palindrome (203122221302).

It can be divided in two parts, 10110 and 1120201, that added together give a palindrome (1130311).

The spelling of 101101120201 in words is "one hundred one billion, one hundred one million, one hundred twenty thousand, two hundred one".