361122002020001 has 2 divisors, whose sum is σ = 361122002020002. Its totient is φ = 361122002020000.

The previous prime is 361122002019971. The next prime is 361122002020007. The reversal of 361122002020001 is 100020200221163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245129123560000 + 115992878460001 = 15656600^2 + 10769999^2 .

It is an emirp because it is prime and its reverse (100020200221163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 361122002020001 - 2¹⁴ = 361122002003617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (361122002020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180561001010000 + 180561001010001.

It is an arithmetic number, because the mean of its divisors is an integer number (180561001010001).

Almost surely, 2^{361122002020001} is an apocalyptic number.

It is an amenable number.

361122002020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

361122002020001 is an equidigital number, since it uses as much as digits as its factorization.

361122002020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 361122002020001 its reverse (100020200221163), we get a palindrome (461142202241164).

The spelling of 361122002020001 in words is "three hundred sixty-one trillion, one hundred twenty-two billion, two million, twenty thousand, one".