100101222212221 has 2 divisors, whose sum is σ = 100101222212222. Its totient is φ = 100101222212220.

The previous prime is 100101222212219. The next prime is 100101222212231. The reversal of 100101222212221 is 122212222101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96589387440100 + 3511834772121 = 9827990^2 + 1873989^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101222212221 - 2¹ = 100101222212219 is a prime.

Together with 100101222212219, 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 (100101222212231) 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, 50050611106110 + 50050611106111.

It is an arithmetic number, because the mean of its divisors is an integer number (50050611106111).

Almost surely, 2^{100101222212221} is an apocalyptic number.

It is an amenable number.

100101222212221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101222212221 is an equidigital number, since it uses as much as digits as its factorization.

100101222212221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100101222212221 its reverse (122212222101001), we get a palindrome (222313444313222).

The spelling of 100101222212221 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".