101011322081 has 2 divisors, whose sum is σ = 101011322082. Its totient is φ = 101011322080.

The previous prime is 101011322077. The next prime is 101011322147. The reversal of 101011322081 is 180223110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101002560481 + 8761600 = 317809^2 + 2960^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011322081 - 2² = 101011322077 is a prime.

It is a super-3 number, since 3×101011322081³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101011322051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505661040 + 50505661041.

It is an arithmetic number, because the mean of its divisors is an integer number (50505661041).

Almost surely, 2^101011322081 is an apocalyptic number.

It is an amenable number.

101011322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011322081 is an equidigital number, since it uses as much as digits as its factorization.

101011322081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101011322081 its reverse (180223110101), we get a palindrome (281234432182).

The spelling of 101011322081 in words is "one hundred one billion, eleven million, three hundred twenty-two thousand, eighty-one".