103322132202049 has 2 divisors, whose sum is σ = 103322132202050. Its totient is φ = 103322132202048.

The previous prime is 103322132201941. The next prime is 103322132202053. The reversal of 103322132202049 is 940202231223301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83759689729024 + 19562442473025 = 9152032^2 + 4422945^2 .

It is an emirp because it is prime and its reverse (940202231223301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103322132202049 - 2⁷ = 103322132201921 is a prime.

It is not a weakly prime, because it can be changed into another prime (103322132202349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51661066101024 + 51661066101025.

It is an arithmetic number, because the mean of its divisors is an integer number (51661066101025).

Almost surely, 2^{103322132202049} is an apocalyptic number.

It is an amenable number.

103322132202049 is a deficient number, since it is larger than the sum of its proper divisors (1).

103322132202049 is an equidigital number, since it uses as much as digits as its factorization.

103322132202049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 103322132202049 in words is "one hundred three trillion, three hundred twenty-two billion, one hundred thirty-two million, two hundred two thousand, forty-nine".