1001000100009 has 64 divisors (see below), whose sum is σ = 1687402196480. Its totient is φ = 513626572800.

The previous prime is 1001000099993. The next prime is 1001000100053. The reversal of 1001000100009 is 9000010001001.

It is not a de Polignac number, because 1001000100009 - 2⁴ = 1001000099993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001000099967 and 1001000100003.

It is not an unprimeable number, because it can be changed into a prime (1001000100509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100004997 + ... + 100015005.

It is an arithmetic number, because the mean of its divisors is an integer number (26365659320).

Almost surely, 2^{1001000100009} is an apocalyptic number.

It is an amenable number.

1001000100009 is a deficient number, since it is larger than the sum of its proper divisors (686402096471).

1001000100009 is a wasteful number, since it uses less digits than its factorization.

1001000100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19970.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 1001000100009 in words is "one trillion, one billion, one hundred thousand, nine".