212102021100001 has 2 divisors, whose sum is σ = 212102021100002. Its totient is φ = 212102021100000.

The previous prime is 212102021099987. The next prime is 212102021100059. The reversal of 212102021100001 is 100001120201212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193551117430225 + 18550903669776 = 13912265^2 + 4307076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212102021100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212102027100001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051010550000 + 106051010550001.

It is an arithmetic number, because the mean of its divisors is an integer number (106051010550001).

Almost surely, 2^{212102021100001} is an apocalyptic number.

It is an amenable number.

212102021100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102021100001 is an equidigital number, since it uses as much as digits as its factorization.

212102021100001 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 212102021100001 its reverse (100001120201212), we get a palindrome (312103141301213).

The spelling of 212102021100001 in words is "two hundred twelve trillion, one hundred two billion, twenty-one million, one hundred thousand, one".