100233101232221 has 2 divisors, whose sum is σ = 100233101232222. Its totient is φ = 100233101232220.

The previous prime is 100233101232133. The next prime is 100233101232227. The reversal of 100233101232221 is 122232101332001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96248147056996 + 3984954175225 = 9810614^2 + 1996235^2 .

It is a cyclic number.

It is not a de Polignac number, because 100233101232221 - 2¹⁴ = 100233101215837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100233101232227) 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, 50116550616110 + 50116550616111.

It is an arithmetic number, because the mean of its divisors is an integer number (50116550616111).

Almost surely, 2^{100233101232221} is an apocalyptic number.

It is an amenable number.

100233101232221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100233101232221 is an equidigital number, since it uses as much as digits as its factorization.

100233101232221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 100233101232221 its reverse (122232101332001), we get a palindrome (222465202564222).

The spelling of 100233101232221 in words is "one hundred trillion, two hundred thirty-three billion, one hundred one million, two hundred thirty-two thousand, two hundred twenty-one".