100200101200213 has 16 divisors (see below), whose sum is σ = 117618158890624. Its totient is φ = 83558329220160.

The previous prime is 100200101200201. The next prime is 100200101200223. The reversal of 100200101200213 is 312002101002001.

It is a cyclic number.

It is not a de Polignac number, because 100200101200213 - 2²¹ = 100200099103061 is a prime.

It is a super-2 number, since 2×100200101200213² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100200101200193 and 100200101200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200101200223) 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, 10950270 + ... + 17897167.

It is an arithmetic number, because the mean of its divisors is an integer number (7351134930664).

Almost surely, 2^{100200101200213} is an apocalyptic number.

It is an amenable number.

100200101200213 is a deficient number, since it is larger than the sum of its proper divisors (17418057690411).

100200101200213 is a wasteful number, since it uses less digits than its factorization.

100200101200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28860892.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100200101200213 its reverse (312002101002001), we get a palindrome (412202202202214).

The spelling of 100200101200213 in words is "one hundred trillion, two hundred billion, one hundred one million, two hundred thousand, two hundred thirteen".