221212022202001 has 2 divisors, whose sum is σ = 221212022202002. Its totient is φ = 221212022202000.

The previous prime is 221212022201999. The next prime is 221212022202007. The reversal of 221212022202001 is 100202220212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212582669446225 + 8629352755776 = 14580215^2 + 2937576^2 .

It is a cyclic number.

It is not a de Polignac number, because 221212022202001 - 2¹ = 221212022201999 is a prime.

It is a super-3 number, since 3×221212022202001³ (a number of 44 digits) contains 333 as substring.

Together with 221212022201999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 221212022202001.

It is not a weakly prime, because it can be changed into another prime (221212022202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110606011101000 + 110606011101001.

It is an arithmetic number, because the mean of its divisors is an integer number (110606011101001).

Almost surely, 2^{221212022202001} is an apocalyptic number.

It is an amenable number.

221212022202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221212022202001 is an equidigital number, since it uses as much as digits as its factorization.

221212022202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221212022202001 its reverse (100202220212122), we get a palindrome (321414242414123).

The spelling of 221212022202001 in words is "two hundred twenty-one trillion, two hundred twelve billion, twenty-two million, two hundred two thousand, one".