101222212101201 has 20 divisors (see below), whose sum is σ = 151252229900772. Its totient is φ = 67461954306048.

The previous prime is 101222212101191. The next prime is 101222212101211. The reversal of 101222212101201 is 102101212222101.

101222212101201 is a `hidden beast` number, since 10 + 1 + 22 + 221 + 210 + 1 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (101222212101191) and next prime (101222212101211).

It can be written as a sum of positive squares in 2 ways, for example, as 41875588188225 + 59346623912976 = 6471135^2 + 7703676^2 .

It is not a de Polignac number, because 101222212101201 - 2¹⁷ = 101222211970129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222212101211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180462960 + ... + 181022993.

Almost surely, 2^{101222212101201} is an apocalyptic number.

It is an amenable number.

101222212101201 is a deficient number, since it is larger than the sum of its proper divisors (50030017799571).

101222212101201 is an equidigital number, since it uses as much as digits as its factorization.

101222212101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361489422 (or 361489413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222212101201 its reverse (102101212222101), we get a palindrome (203323424323302).

The spelling of 101222212101201 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twelve million, one hundred one thousand, two hundred one".