100102010020209 has 6 divisors (see below), whose sum is σ = 144591792251426. Its totient is φ = 66734673346800.

The previous prime is 100102010020193. The next prime is 100102010020223. The reversal of 100102010020209 is 902020010201001.

100102010020209 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94935012771600 + 5166997248609 = 9743460^2 + 2273103^2 .

It is not a de Polignac number, because 100102010020209 - 2⁴ = 100102010020193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102010020191 and 100102010020200.

It is not an unprimeable number, because it can be changed into a prime (100102010020289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561222778892 + ... + 5561222778909.

Almost surely, 2^{100102010020209} is an apocalyptic number.

It is an amenable number.

100102010020209 is a deficient number, since it is larger than the sum of its proper divisors (44489782231217).

100102010020209 is a wasteful number, since it uses less digits than its factorization.

100102010020209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122445557807 (or 11122445557804 counting only the distinct ones).

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

The spelling of 100102010020209 in words is "one hundred trillion, one hundred two billion, ten million, twenty thousand, two hundred nine".