103332331022201 has 2 divisors, whose sum is σ = 103332331022202. Its totient is φ = 103332331022200.

The previous prime is 103332331022159. The next prime is 103332331022213. The reversal of 103332331022201 is 102220133233301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84865071026176 + 18467259996025 = 9212224^2 + 4297355^2 .

It is a cyclic number.

It is not a de Polignac number, because 103332331022201 - 2¹⁴ = 103332331005817 is a prime.

It is not a weakly prime, because it can be changed into another prime (103332331822201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51666165511100 + 51666165511101.

It is an arithmetic number, because the mean of its divisors is an integer number (51666165511101).

Almost surely, 2^{103332331022201} is an apocalyptic number.

It is an amenable number.

103332331022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

103332331022201 is an equidigital number, since it uses as much as digits as its factorization.

103332331022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 103332331022201 its reverse (102220133233301), we get a palindrome (205552464255502).

The spelling of 103332331022201 in words is "one hundred three trillion, three hundred thirty-two billion, three hundred thirty-one million, twenty-two thousand, two hundred one".