101200121212181 has 2 divisors, whose sum is σ = 101200121212182. Its totient is φ = 101200121212180.

The previous prime is 101200121212117. The next prime is 101200121212297. The reversal of 101200121212181 is 181212121002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91466557354225 + 9733563857956 = 9563815^2 + 3119866^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200121212181 - 2⁶ = 101200121212117 is a prime.

It is a super-2 number, since 2×101200121212181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200121212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600060606090 + 50600060606091.

It is an arithmetic number, because the mean of its divisors is an integer number (50600060606091).

Almost surely, 2^{101200121212181} is an apocalyptic number.

It is an amenable number.

101200121212181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200121212181 is an equidigital number, since it uses as much as digits as its factorization.

101200121212181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 101200121212181 its reverse (181212121002101), we get a palindrome (282412242214282).

The spelling of 101200121212181 in words is "one hundred one trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred eighty-one".