100311211116 has 36 divisors (see below), whose sum is σ = 255500068824. Its totient is φ = 33181824000.

The previous prime is 100311211111. The next prime is 100311211123. The reversal of 100311211116 is 611112113001.

100311211116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100311211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10630485 + ... + 10639916.

It is an arithmetic number, because the mean of its divisors is an integer number (7097224134).

Almost surely, 2^100311211116 is an apocalyptic number.

It is an amenable number.

100311211116 is an abundant number, since it is smaller than the sum of its proper divisors (155188857708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100311211116 is a wasteful number, since it uses less digits than its factorization.

100311211116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21270542 (or 21270537 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 100311211116 its reverse (611112113001), we get a palindrome (711423324117).

The spelling of 100311211116 in words is "one hundred billion, three hundred eleven million, two hundred eleven thousand, one hundred sixteen".