103012221328993 has 2 divisors, whose sum is σ = 103012221328994. Its totient is φ = 103012221328992.

The previous prime is 103012221328969. The next prime is 103012221329053. The reversal of 103012221328993 is 399823122210301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75836091225664 + 27176130103329 = 8708392^2 + 5213073^2 .

It is a cyclic number.

It is not a de Polignac number, because 103012221328993 - 2⁹ = 103012221328481 is a prime.

It is a super-2 number, since 2×103012221328993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103012221322993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51506110664496 + 51506110664497.

It is an arithmetic number, because the mean of its divisors is an integer number (51506110664497).

Almost surely, 2^{103012221328993} is an apocalyptic number.

It is an amenable number.

103012221328993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103012221328993 is an equidigital number, since it uses as much as digits as its factorization.

103012221328993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 103012221328993 in words is "one hundred three trillion, twelve billion, two hundred twenty-one million, three hundred twenty-eight thousand, nine hundred ninety-three".