100200101011011 has 24 divisors (see below), whose sum is σ = 153332970423984. Its totient is φ = 62835469209600.

The previous prime is 100200101011001. The next prime is 100200101011063. The reversal of 100200101011011 is 110110101002001.

It is not a de Polignac number, because 100200101011011 - 2⁵ = 100200101010979 is a prime.

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 = 100200101010984 and 100200101011002.

It is not an unprimeable number, because it can be changed into a prime (100200101011001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182967390 + ... + 183514211.

It is an arithmetic number, because the mean of its divisors is an integer number (6388873767666).

Almost surely, 2^{100200101011011} is an apocalyptic number.

100200101011011 is a deficient number, since it is larger than the sum of its proper divisors (53132869412973).

100200101011011 is a wasteful number, since it uses less digits than its factorization.

100200101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366483411 (or 366483408 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100200101011011 its reverse (110110101002001), we get a palindrome (210310202013012).

The spelling of 100200101011011 in words is "one hundred trillion, two hundred billion, one hundred one million, eleven thousand, eleven".