101201221012081 has 2 divisors, whose sum is σ = 101201221012082. Its totient is φ = 101201221012080.

The previous prime is 101201221011931. The next prime is 101201221012103. The reversal of 101201221012081 is 180210122102101.

It is a happy number.

It is an a-pointer prime, because the next prime (101201221012103) can be obtained adding 101201221012081 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81616480545856 + 19584740466225 = 9034184^2 + 4425465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201221012081 is a prime.

It is a super-2 number, since 2×101201221012081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101201201012081) 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, 50600610506040 + 50600610506041.

It is an arithmetic number, because the mean of its divisors is an integer number (50600610506041).

Almost surely, 2^{101201221012081} is an apocalyptic number.

It is an amenable number.

101201221012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201221012081 is an equidigital number, since it uses as much as digits as its factorization.

101201221012081 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 22.

Adding to 101201221012081 its reverse (180210122102101), we get a palindrome (281411343114182).

The spelling of 101201221012081 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-one million, twelve thousand, eighty-one".