1010010010009 has 64 divisors (see below), whose sum is σ = 1371019829760. Its totient is φ = 718502400000.

The previous prime is 1010010010003. The next prime is 1010010010067. The reversal of 1010010010009 is 9000100100101.

1010010010009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010010010009 - 2⁷ = 1010010009881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1010010010003) 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, 102005959 + ... + 102015859.

It is an arithmetic number, because the mean of its divisors is an integer number (21422184840).

Almost surely, 2^{1010010010009} is an apocalyptic number.

It is an amenable number.

1010010010009 is a deficient number, since it is larger than the sum of its proper divisors (361009819751).

1010010010009 is a wasteful number, since it uses less digits than its factorization.

1010010010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1010010010009 in words is "one trillion, ten billion, ten million, ten thousand, nine".