100012012011009 has 192 divisors, whose sum is σ = 174365611130880. Its totient is φ = 54042158016000.

The previous prime is 100012012010983. The next prime is 100012012011011. The reversal of 100012012011009 is 900110210210001.

It is a happy number.

It is not a de Polignac number, because 100012012011009 - 2⁸ = 100012012010753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012012010982 and 100012012011000.

It is not an unprimeable number, because it can be changed into a prime (100012012011809) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21642934719 + ... + 21642939339.

It is an arithmetic number, because the mean of its divisors is an integer number (908154224640).

Almost surely, 2^{100012012011009} is an apocalyptic number.

It is an amenable number.

100012012011009 is a deficient number, since it is larger than the sum of its proper divisors (74353599119871).

100012012011009 is a wasteful number, since it uses less digits than its factorization.

100012012011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100012012011009 in words is "one hundred trillion, twelve billion, twelve million, eleven thousand, nine".