2212111101001 has 2 divisors, whose sum is σ = 2212111101002. Its totient is φ = 2212111101000.

The previous prime is 2212111100971. The next prime is 2212111101103. The reversal of 2212111101001 is 1001011112122.

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., 2092142387776 + 119968713225 = 1446424^2 + 346365^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212111101001 - 2²⁷ = 2211976883273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212111104001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106055550500 + 1106055550501.

It is an arithmetic number, because the mean of its divisors is an integer number (1106055550501).

Almost surely, 2^{2212111101001} is an apocalyptic number.

It is an amenable number.

2212111101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212111101001 is an equidigital number, since it uses as much as digits as its factorization.

2212111101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2212111101001 its reverse (1001011112122), we get a palindrome (3213122213123).

The spelling of 2212111101001 in words is "two trillion, two hundred twelve billion, one hundred eleven million, one hundred one thousand, one".