103021112332993 has 2 divisors, whose sum is σ = 103021112332994. Its totient is φ = 103021112332992.

The previous prime is 103021112332973. The next prime is 103021112333033. The reversal of 103021112332993 is 399233211120301.

It is an a-pointer prime, because the next prime (103021112333033) can be obtained adding 103021112332993 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102995543363584 + 25568969409 = 10148672^2 + 159903^2 .

It is a cyclic number.

It is not a de Polignac number, because 103021112332993 - 2¹⁷ = 103021112201921 is a prime.

It is a super-2 number, since 2×103021112332993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103021112332973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51510556166496 + 51510556166497.

It is an arithmetic number, because the mean of its divisors is an integer number (51510556166497).

Almost surely, 2^{103021112332993} is an apocalyptic number.

It is an amenable number.

103021112332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103021112332993 is an equidigital number, since it uses as much as digits as its factorization.

103021112332993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 40.

The spelling of 103021112332993 in words is "one hundred three trillion, twenty-one billion, one hundred twelve million, three hundred thirty-two thousand, nine hundred ninety-three".