2112200121001 has 2 divisors, whose sum is σ = 2112200121002. Its totient is φ = 2112200121000.

The previous prime is 2112200120977. The next prime is 2112200121011. The reversal of 2112200121001 is 1001210022112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1658531865600 + 453668255401 = 1287840^2 + 673549^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112200121001 - 2⁷ = 2112200120873 is a prime.

It is a super-2 number, since 2×2112200121001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112200121011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056100060500 + 1056100060501.

It is an arithmetic number, because the mean of its divisors is an integer number (1056100060501).

Almost surely, 2^{2112200121001} is an apocalyptic number.

It is an amenable number.

2112200121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112200121001 is an equidigital number, since it uses as much as digits as its factorization.

2112200121001 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 2112200121001 its reverse (1001210022112), we get a palindrome (3113410143113).

The spelling of 2112200121001 in words is "two trillion, one hundred twelve billion, two hundred million, one hundred twenty-one thousand, one".