2222120100001 has 2 divisors, whose sum is σ = 2222120100002. Its totient is φ = 2222120100000.

The previous prime is 2222120099999. The next prime is 2222120100029. The reversal of 2222120100001 is 1000010212222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2217645158976 + 4474941025 = 1489176^2 + 66895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222120100001 - 2¹ = 2222120099999 is a prime.

Together with 2222120099999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2222120100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111060050000 + 1111060050001.

It is an arithmetic number, because the mean of its divisors is an integer number (1111060050001).

Almost surely, 2^{2222120100001} is an apocalyptic number.

It is an amenable number.

2222120100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222120100001 is an equidigital number, since it uses as much as digits as its factorization.

2222120100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2222120100001 its reverse (1000010212222), we get a palindrome (3222130312223).

The spelling of 2222120100001 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, one".