101222122100233 has 2 divisors, whose sum is σ = 101222122100234. Its totient is φ = 101222122100232.

The previous prime is 101222122100221. The next prime is 101222122100287. The reversal of 101222122100233 is 332001221222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62448747612304 + 38773374487929 = 7902452^2 + 6226827^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222122100233 - 2¹³ = 101222122092041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101222122100293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611061050116 + 50611061050117.

It is an arithmetic number, because the mean of its divisors is an integer number (50611061050117).

Almost surely, 2^{101222122100233} is an apocalyptic number.

It is an amenable number.

101222122100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222122100233 is an equidigital number, since it uses as much as digits as its factorization.

101222122100233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101222122100233 its reverse (332001221222101), we get a palindrome (433223343322334).

The spelling of 101222122100233 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, two hundred thirty-three".