10010100011009 has 8 divisors (see below), whose sum is σ = 11634014541120. Its totient is φ = 8434660541616.

The previous prime is 10010100010997. The next prime is 10010100011063. The reversal of 10010100011009 is 90011000101001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010100011009 - 2⁴ = 10010100010993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010100010984 and 10010100011002.

It is not an unprimeable number, because it can be changed into a prime (10010100311009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12118764734 + ... + 12118765559.

It is an arithmetic number, because the mean of its divisors is an integer number (1454251817640).

Almost surely, 2^{10010100011009} is an apocalyptic number.

It is an amenable number.

10010100011009 is a deficient number, since it is larger than the sum of its proper divisors (1623914530111).

10010100011009 is an equidigital number, since it uses as much as digits as its factorization.

10010100011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237530359.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10010100011009 in words is "ten trillion, ten billion, one hundred million, eleven thousand, nine".