101121110221 has 2 divisors, whose sum is σ = 101121110222. Its totient is φ = 101121110220.

The previous prime is 101121110197. The next prime is 101121110249. The reversal of 101121110221 is 122011121101.

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., 98212665321 + 2908444900 = 313389^2 + 53930^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121110221 - 2¹¹ = 101121108173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121110291) 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, 50560555110 + 50560555111.

It is an arithmetic number, because the mean of its divisors is an integer number (50560555111).

Almost surely, 2^101121110221 is an apocalyptic number.

It is an amenable number.

101121110221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121110221 is an equidigital number, since it uses as much as digits as its factorization.

101121110221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121110221 its reverse (122011121101), we get a palindrome (223132231322).

The spelling of 101121110221 in words is "one hundred one billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty-one".