10100200221009 has 96 divisors (see below), whose sum is σ = 15286107957120. Its totient is φ = 6664266150912.

The previous prime is 10100200220963. The next prime is 10100200221017. The reversal of 10100200221009 is 90012200200101.

It is not a de Polignac number, because 10100200221009 - 2⁹ = 10100200220497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100200220982 and 10100200221000.

It is not an unprimeable number, because it can be changed into a prime (10100200221049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10130591499 + ... + 10130592495.

It is an arithmetic number, because the mean of its divisors is an integer number (159230291220).

Almost surely, 2^{10100200221009} is an apocalyptic number.

It is an amenable number.

10100200221009 is a deficient number, since it is larger than the sum of its proper divisors (5185907736111).

10100200221009 is an equidigital number, since it uses as much as digits as its factorization.

10100200221009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10100200221009 in words is "ten trillion, one hundred billion, two hundred million, two hundred twenty-one thousand, nine".