2212120101001 has 2 divisors, whose sum is σ = 2212120101002. Its totient is φ = 2212120101000.

The previous prime is 2212120100977. The next prime is 2212120101013. The reversal of 2212120101001 is 1001010212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1237487155776 + 974632945225 = 1112424^2 + 987235^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212120101001 - 2⁷ = 2212120100873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212120101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106060050500 + 1106060050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060050501).

Almost surely, 2^{2212120101001} is an apocalyptic number.

It is an amenable number.

2212120101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212120101001 is an equidigital number, since it uses as much as digits as its factorization.

2212120101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2212120101001 its reverse (1001010212122), we get a palindrome (3213130313123).

The spelling of 2212120101001 in words is "two trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand, one".