101121122281 has 2 divisors, whose sum is σ = 101121122282. Its totient is φ = 101121122280.

The previous prime is 101121122209. The next prime is 101121122299. The reversal of 101121122281 is 182221121101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76886416656 + 24234705625 = 277284^2 + 155675^2 .

It is an emirp because it is prime and its reverse (182221121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101121122281 - 2⁹ = 101121121769 is a prime.

It is a super-2 number, since 2×101121122281² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101121122681) 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, 50560561140 + 50560561141.

It is an arithmetic number, because the mean of its divisors is an integer number (50560561141).

Almost surely, 2^101121122281 is an apocalyptic number.

It is an amenable number.

101121122281 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121122281 is an equidigital number, since it uses as much as digits as its factorization.

101121122281 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 101121122281 its reverse (182221121101), we get a palindrome (283342243382).

The spelling of 101121122281 in words is "one hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred eighty-one".