101212122200081 has 2 divisors, whose sum is σ = 101212122200082. Its totient is φ = 101212122200080.

The previous prime is 101212122200047. The next prime is 101212122200131. The reversal of 101212122200081 is 180002221212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63066786931600 + 38145335268481 = 7941460^2 + 6176191^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212122200081 - 2²² = 101212118005777 is a prime.

It is a super-2 number, since 2×101212122200081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101212122200381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606061100040 + 50606061100041.

It is an arithmetic number, because the mean of its divisors is an integer number (50606061100041).

Almost surely, 2^{101212122200081} is an apocalyptic number.

It is an amenable number.

101212122200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212122200081 is an equidigital number, since it uses as much as digits as its factorization.

101212122200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 101212122200081 its reverse (180002221212101), we get a palindrome (281214343412182).

The spelling of 101212122200081 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, two hundred thousand, eighty-one".