2102201300213 has 16 divisors (see below), whose sum is σ = 2516023476480. Its totient is φ = 1717321706496.

The previous prime is 2102201300201. The next prime is 2102201300237. The reversal of 2102201300213 is 3120031022012.

It is not a de Polignac number, because 2102201300213 - 2²⁰ = 2102200251637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102201300191 and 2102201300200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102201300263) 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, 23524268 + ... + 23613461.

It is an arithmetic number, because the mean of its divisors is an integer number (157251467280).

Almost surely, 2^{2102201300213} is an apocalyptic number.

2102201300213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2102201300213 is a deficient number, since it is larger than the sum of its proper divisors (413822176267).

2102201300213 is a wasteful number, since it uses less digits than its factorization.

2102201300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47138036.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2102201300213 its reverse (3120031022012), we get a palindrome (5222232322225).

The spelling of 2102201300213 in words is "two trillion, one hundred two billion, two hundred one million, three hundred thousand, two hundred thirteen".