100200011112011 has 48 divisors (see below), whose sum is σ = 107921705066496. Its totient is φ = 92996127000000.

The previous prime is 100200011111971. The next prime is 100200011112029. The reversal of 100200011112011 is 110211110002001.

It is a de Polignac number, because none of the positive numbers 2^k-100200011112011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200011111983 and 100200011112001.

It is not an unprimeable number, because it can be changed into a prime (100200011112031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4606674386 + ... + 4606696136.

It is an arithmetic number, because the mean of its divisors is an integer number (2248368855552).

Almost surely, 2^{100200011112011} is an apocalyptic number.

100200011112011 is a deficient number, since it is larger than the sum of its proper divisors (7721693954485).

100200011112011 is a wasteful number, since it uses less digits than its factorization.

100200011112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22992 (or 22973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100200011112011 its reverse (110211110002001), we get a palindrome (210411121114012).

The spelling of 100200011112011 in words is "one hundred trillion, two hundred billion, eleven million, one hundred twelve thousand, eleven".