222120002020001 has 2 divisors, whose sum is σ = 222120002020002. Its totient is φ = 222120002020000.

The previous prime is 222120002019983. The next prime is 222120002020003. The reversal of 222120002020001 is 100020200021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172485144889600 + 49634857130401 = 13133360^2 + 7045201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-222120002020001 is a prime.

It is a super-3 number, since 3×222120002020001³ (a number of 44 digits) contains 333 as substring.

Together with 222120002020003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (222120002020003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060001010000 + 111060001010001.

It is an arithmetic number, because the mean of its divisors is an integer number (111060001010001).

Almost surely, 2^{222120002020001} is an apocalyptic number.

It is an amenable number.

222120002020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120002020001 is an equidigital number, since it uses as much as digits as its factorization.

222120002020001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222120002020001 its reverse (100020200021222), we get a palindrome (322140202041223).

The spelling of 222120002020001 in words is "two hundred twenty-two trillion, one hundred twenty billion, two million, twenty thousand, one".