1000006000101 has 16 divisors (see below), whose sum is σ = 1506600379200. Its totient is φ = 655371162864.

The previous prime is 1000006000093. The next prime is 1000006000151. The reversal of 1000006000101 is 1010006000001.

It is not a de Polignac number, because 1000006000101 - 2³ = 1000006000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000006000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313873486 + ... + 313876671.

It is an arithmetic number, because the mean of its divisors is an integer number (94162523700).

Almost surely, 2^{1000006000101} is an apocalyptic number.

It is an amenable number.

1000006000101 is a deficient number, since it is larger than the sum of its proper divisors (506594379099).

1000006000101 is an equidigital number, since it uses as much as digits as its factorization.

1000006000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627750225 (or 627750219 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The spelling of 1000006000101 in words is "one trillion, six million, one hundred one", and thus it is an aban number.