101101121120221 has 2 divisors, whose sum is σ = 101101121120222. Its totient is φ = 101101121120220.

The previous prime is 101101121120213. The next prime is 101101121120227. The reversal of 101101121120221 is 122021121101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55219315140900 + 45881805979321 = 7430970^2 + 6773611^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101121120221 - 2³ = 101101121120213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101121120195 and 101101121120204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101121120227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550560560110 + 50550560560111.

It is an arithmetic number, because the mean of its divisors is an integer number (50550560560111).

Almost surely, 2^{101101121120221} is an apocalyptic number.

It is an amenable number.

101101121120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101121120221 is an equidigital number, since it uses as much as digits as its factorization.

101101121120221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101101121120221 its reverse (122021121101101), we get a palindrome (223122242221322).

The spelling of 101101121120221 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".