103113211221821 has 2 divisors, whose sum is σ = 103113211221822. Its totient is φ = 103113211221820.

The previous prime is 103113211221793. The next prime is 103113211221871. The reversal of 103113211221821 is 128122112311301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77167686216196 + 25945525005625 = 8784514^2 + 5093675^2 .

It is a cyclic number.

It is not a de Polignac number, because 103113211221821 - 2¹⁸ = 103113210959677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103113211221871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556605610910 + 51556605610911.

It is an arithmetic number, because the mean of its divisors is an integer number (51556605610911).

Almost surely, 2^{103113211221821} is an apocalyptic number.

It is an amenable number.

103113211221821 is a deficient number, since it is larger than the sum of its proper divisors (1).

103113211221821 is an equidigital number, since it uses as much as digits as its factorization.

103113211221821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 103113211221821 in words is "one hundred three trillion, one hundred thirteen billion, two hundred eleven million, two hundred twenty-one thousand, eight hundred twenty-one".