10100202210209 has 16 divisors (see below), whose sum is σ = 11331742308480. Its totient is φ = 8946112262400.

The previous prime is 10100202210191. The next prime is 10100202210221. The reversal of 10100202210209 is 90201220200101.

It is a happy number.

10100202210209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100202210209 - 2³⁶ = 10031482733473 is a prime.

It is a super-2 number, since 2×10100202210209² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100202210299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103494194 + ... + 103591739.

It is an arithmetic number, because the mean of its divisors is an integer number (708233894280).

Almost surely, 2^{10100202210209} is an apocalyptic number.

10100202210209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10100202210209 is a deficient number, since it is larger than the sum of its proper divisors (1231540098271).

10100202210209 is a wasteful number, since it uses less digits than its factorization.

10100202210209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207086120.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10100202210209 in words is "ten trillion, one hundred billion, two hundred two million, two hundred ten thousand, two hundred nine".