212202012120001 has 2 divisors, whose sum is σ = 212202012120002. Its totient is φ = 212202012120000.

The previous prime is 212202012119963. The next prime is 212202012120029. The reversal of 212202012120001 is 100021210202212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174334419187776 + 37867592932225 = 13203576^2 + 6153665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212202012120001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212202012120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101006060000 + 106101006060001.

It is an arithmetic number, because the mean of its divisors is an integer number (106101006060001).

Almost surely, 2^{212202012120001} is an apocalyptic number.

It is an amenable number.

212202012120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202012120001 is an equidigital number, since it uses as much as digits as its factorization.

212202012120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212202012120001 its reverse (100021210202212), we get a palindrome (312223222322213).

The spelling of 212202012120001 in words is "two hundred twelve trillion, two hundred two billion, twelve million, one hundred twenty thousand, one".