212002103101001 has 2 divisors, whose sum is σ = 212002103101002. Its totient is φ = 212002103101000.

The previous prime is 212002103100979. The next prime is 212002103101007. The reversal of 212002103101001 is 100101301200212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120969971863225 + 91032131237776 = 10998635^2 + 9541076^2 .

It is a cyclic number.

It is not a de Polignac number, because 212002103101001 - 2³⁸ = 211727225194057 is a prime.

It is not a weakly prime, because it can be changed into another prime (212002103101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001051550500 + 106001051550501.

It is an arithmetic number, because the mean of its divisors is an integer number (106001051550501).

Almost surely, 2^{212002103101001} is an apocalyptic number.

It is an amenable number.

212002103101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002103101001 is an equidigital number, since it uses as much as digits as its factorization.

212002103101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212002103101001 its reverse (100101301200212), we get a palindrome (312103404301213).

The spelling of 212002103101001 in words is "two hundred twelve trillion, two billion, one hundred three million, one hundred one thousand, one".