10100200102209 has 96 divisors (see below), whose sum is σ = 18304658380800. Its totient is φ = 5390570615040.

The previous prime is 10100200102199. The next prime is 10100200102259. The reversal of 10100200102209 is 90220100200101.

10100200102209 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 10100200102209 - 2⁹ = 10100200101697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100200102191 and 10100200102200.

It is not an unprimeable number, because it can be changed into a prime (10100200102259) 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, 6449572 + ... + 7861130.

It is an arithmetic number, because the mean of its divisors is an integer number (190673524800).

Almost surely, 2^{10100200102209} is an apocalyptic number.

It is an amenable number.

10100200102209 is a deficient number, since it is larger than the sum of its proper divisors (8204458278591).

10100200102209 is a wasteful number, since it uses less digits than its factorization.

10100200102209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411740 (or 1411717 counting only the distinct ones).

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

The spelling of 10100200102209 in words is "ten trillion, one hundred billion, two hundred million, one hundred two thousand, two hundred nine".