1010121332993 has 2 divisors, whose sum is σ = 1010121332994. Its totient is φ = 1010121332992.

The previous prime is 1010121332953. The next prime is 1010121333043. The reversal of 1010121332993 is 3992331210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 682882418689 + 327238914304 = 826367^2 + 572048^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010121332993 - 2²⁴ = 1010104555777 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010121332953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060666496 + 505060666497.

It is an arithmetic number, because the mean of its divisors is an integer number (505060666497).

Almost surely, 2^{1010121332993} is an apocalyptic number.

It is an amenable number.

1010121332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010121332993 is an equidigital number, since it uses as much as digits as its factorization.

1010121332993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 1010121332993 in words is "one trillion, ten billion, one hundred twenty-one million, three hundred thirty-two thousand, nine hundred ninety-three".