212001001 has 2 divisors, whose sum is σ = 212001002. Its totient is φ = 212001000.

The previous prime is 212000963. The next prime is 212001017. The reversal of 212001001 is 100100212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142778601 + 69222400 = 11949^2 + 8320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212001001 is a prime.

212001001 is a modest number, since divided by 1001 gives 212 as remainder.

It is not a weakly prime, because it can be changed into another prime (212061001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000500 + 106000501.

It is an arithmetic number, because the mean of its divisors is an integer number (106000501).

Almost surely, 2^212001001 is an apocalyptic number.

It is an amenable number.

212001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001001 is an equidigital number, since it uses as much as digits as its factorization.

212001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 212001001 is about 14560.2541530016. The cubic root of 212001001 is about 596.2741342469.

Adding to 212001001 its reverse (100100212), we get a palindrome (312101213).

It can be divided in two parts, 21200 and 1001, that added together give a square (22201 = 149²).

The spelling of 212001001 in words is "two hundred twelve million, one thousand, one".