101201122273 has 2 divisors, whose sum is σ = 101201122274. Its totient is φ = 101201122272.

The previous prime is 101201122189. The next prime is 101201122277. The reversal of 101201122273 is 372221102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56355436449 + 44845685824 = 237393^2 + 211768^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201122273 - 2¹⁷ = 101200991201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201122277) 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, 50600561136 + 50600561137.

It is an arithmetic number, because the mean of its divisors is an integer number (50600561137).

Almost surely, 2^101201122273 is an apocalyptic number.

It is an amenable number.

101201122273 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201122273 is an equidigital number, since it uses as much as digits as its factorization.

101201122273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 101201122273 its reverse (372221102101), we get a palindrome (473422224374).

The spelling of 101201122273 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, two hundred seventy-three".