10100010009 has 8 divisors (see below), whose sum is σ = 13499607520. Its totient is φ = 6716876256.

The previous prime is 10100009993. The next prime is 10100010013. The reversal of 10100010009 is 90001000101.

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

It is not a de Polignac number, because 10100010009 - 2⁴ = 10100009993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100009976 and 10100010003.

It is not an unprimeable number, because it can be changed into a prime (10100010059) 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, 4114507 + ... + 4116960.

It is an arithmetic number, because the mean of its divisors is an integer number (1687450940).

Almost surely, 2^10100010009 is an apocalyptic number.

It is an amenable number.

10100010009 is a deficient number, since it is larger than the sum of its proper divisors (3399597511).

10100010009 is an equidigital number, since it uses as much as digits as its factorization.

10100010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8231879.

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

The spelling of 10100010009 in words is "ten billion, one hundred million, ten thousand, nine".