2212312101001 has 2 divisors, whose sum is σ = 2212312101002. Its totient is φ = 2212312101000.

The previous prime is 2212312100939. The next prime is 2212312101011. The reversal of 2212312101001 is 1001012132122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2204999285776 + 7312815225 = 1484924^2 + 85515^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212312101001 - 2¹⁷ = 2212311969929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212312101011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106156050500 + 1106156050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1106156050501).

Almost surely, 2^{2212312101001} is an apocalyptic number.

It is an amenable number.

2212312101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212312101001 is an equidigital number, since it uses as much as digits as its factorization.

2212312101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2212312101001 its reverse (1001012132122), we get a palindrome (3213324233123).

It can be divided in two parts, 221231 and 2101001, that added together give a palindrome (2322232).

The spelling of 2212312101001 in words is "two trillion, two hundred twelve billion, three hundred twelve million, one hundred one thousand, one".