100200100200111 has 24 divisors (see below), whose sum is σ = 159910134340320. Its totient is φ = 60137144534016.

The previous prime is 100200100200049. The next prime is 100200100200121. The reversal of 100200100200111 is 111002001002001.

It is a happy number.

It is not a de Polignac number, because 100200100200111 - 2⁹ = 100200100199599 is a prime.

It is a super-2 number, since 2×100200100200111² (a number of 29 digits) contains 22 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 = 100200100200093 and 100200100200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200100200121) 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, 14237009866 + ... + 14237016903.

It is an arithmetic number, because the mean of its divisors is an integer number (6662922264180).

Almost surely, 2^{100200100200111} is an apocalyptic number.

100200100200111 is a deficient number, since it is larger than the sum of its proper divisors (59710034140209).

100200100200111 is a wasteful number, since it uses less digits than its factorization.

100200100200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28474026815 (or 28474026812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200100200111 its reverse (111002001002001), we get a palindrome (211202101202112).

It can be divided in two parts, 1002001002001 and 11, that multiplied together give a palindrome (11022011022011).

The spelling of 100200100200111 in words is "one hundred trillion, two hundred billion, one hundred million, two hundred thousand, one hundred eleven".