1012100099993 has 2 divisors, whose sum is σ = 1012100099994. Its totient is φ = 1012100099992.

The previous prime is 1012100099987. The next prime is 1012100100001. The reversal of 1012100099993 is 3999900012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980828775424 + 31271324569 = 990368^2 + 176837^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012100099993 - 2¹⁰ = 1012100098969 is a prime.

It is a super-2 number, since 2×1012100099993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012100299993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050049996 + 506050049997.

It is an arithmetic number, because the mean of its divisors is an integer number (506050049997).

Almost surely, 2^{1012100099993} is an apocalyptic number.

It is an amenable number.

1012100099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012100099993 is an equidigital number, since it uses as much as digits as its factorization.

1012100099993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 44.

The spelling of 1012100099993 in words is "one trillion, twelve billion, one hundred million, ninety-nine thousand, nine hundred ninety-three".