101222122100221 has 2 divisors, whose sum is σ = 101222122100222. Its totient is φ = 101222122100220.

The previous prime is 101222122100219. The next prime is 101222122100233. The reversal of 101222122100221 is 122001221222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100390660796196 + 831461304025 = 10019514^2 + 911845^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222122100221 - 2¹ = 101222122100219 is a prime.

Together with 101222122100219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222122100321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611061050110 + 50611061050111.

It is an arithmetic number, because the mean of its divisors is an integer number (50611061050111).

Almost surely, 2^{101222122100221} is an apocalyptic number.

It is an amenable number.

101222122100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222122100221 is an equidigital number, since it uses as much as digits as its factorization.

101222122100221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101222122100221 its reverse (122001221222101), we get a palindrome (223223343322322).

The spelling of 101222122100221 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-one".