100200200002011 has 64 divisors (see below), whose sum is σ = 158062124943360. Its totient is φ = 62516931079680.

The previous prime is 100200200002009. The next prime is 100200200002037. The reversal of 100200200002011 is 110200002002001.

It is not a de Polignac number, because 100200200002011 - 2¹ = 100200200002009 is a prime.

It is a super-3 number, since 3×100200200002011³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100200200001984 and 100200200002002.

It is not an unprimeable number, because it can be changed into a prime (100200200002051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163450110 + ... + 164061996.

It is an arithmetic number, because the mean of its divisors is an integer number (2469720702240).

Almost surely, 2^{100200200002011} is an apocalyptic number.

100200200002011 is a deficient number, since it is larger than the sum of its proper divisors (57861924941349).

100200200002011 is a wasteful number, since it uses less digits than its factorization.

100200200002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613921 (or 613915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200200002011 its reverse (110200002002001), we get a palindrome (210400202004012).

The spelling of 100200200002011 in words is "one hundred trillion, two hundred billion, two hundred million, two thousand, eleven".