1012200210001 has 2 divisors, whose sum is σ = 1012200210002. Its totient is φ = 1012200210000.

The previous prime is 1012200209953. The next prime is 1012200210013. The reversal of 1012200210001 is 1000120022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1012196966400 + 3243601 = 1006080^2 + 1801^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012200210001 - 2¹³ = 1012200201809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1012200210001.

It is not a weakly prime, because it can be changed into another prime (1012200210071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506100105000 + 506100105001.

It is an arithmetic number, because the mean of its divisors is an integer number (506100105001).

Almost surely, 2^{1012200210001} is an apocalyptic number.

It is an amenable number.

1012200210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012200210001 is an equidigital number, since it uses as much as digits as its factorization.

1012200210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012200210001 its reverse (1000120022101), we get a palindrome (2012320232102).

The spelling of 1012200210001 in words is "one trillion, twelve billion, two hundred million, two hundred ten thousand, one".