100311221112 has 64 divisors (see below), whose sum is σ = 252235200000. Its totient is φ = 33243053184.

The previous prime is 100311221089. The next prime is 100311221113. The reversal of 100311221112 is 211122113001.

It is a junction number, because it is equal to n+sod(n) for n = 100311221091 and 100311221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311221113) 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 15 ways as a sum of consecutive naturals, for example, 6674118 + ... + 6689130.

It is an arithmetic number, because the mean of its divisors is an integer number (3941175000).

Almost surely, 2^100311221112 is an apocalyptic number.

100311221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100311221112 is an abundant number, since it is smaller than the sum of its proper divisors (151923978888).

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

100311221112 is a wasteful number, since it uses less digits than its factorization.

100311221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16620 (or 16616 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100311221112 its reverse (211122113001), we get a palindrome (311433334113).

The spelling of 100311221112 in words is "one hundred billion, three hundred eleven million, two hundred twenty-one thousand, one hundred twelve".