1005010099999 has 32 divisors (see below), whose sum is σ = 1091186795520. Its totient is φ = 922576491648.

The previous prime is 1005010099993. The next prime is 1005010100011. The reversal of 1005010099999 is 9999900105001.

It is a cyclic number.

It is not a de Polignac number, because 1005010099999 - 2⁵ = 1005010099967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005010099993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282542529 + ... + 282546085.

It is an arithmetic number, because the mean of its divisors is an integer number (34099587360).

Almost surely, 2^{1005010099999} is an apocalyptic number.

1005010099999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1005010099999 is a deficient number, since it is larger than the sum of its proper divisors (86176695521).

1005010099999 is a wasteful number, since it uses less digits than its factorization.

1005010099999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687.

The product of its (nonzero) digits is 295245, while the sum is 52.

The spelling of 1005010099999 in words is "one trillion, five billion, ten million, ninety-nine thousand, nine hundred ninety-nine".