100022012111112 has 192 divisors, whose sum is σ = 317221018732800. Its totient is φ = 26045514593280.

The previous prime is 100022012111111. The next prime is 100022012111117. The reversal of 100022012111112 is 211111210220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022012111091 and 100022012111100.

It is not an unprimeable number, because it can be changed into a prime (100022012111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40200589 + ... + 42616092.

It is an arithmetic number, because the mean of its divisors is an integer number (1652192805900).

Almost surely, 2^{100022012111112} is an apocalyptic number.

100022012111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022012111112 is an abundant number, since it is smaller than the sum of its proper divisors (217199006621688).

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

100022012111112 is a wasteful number, since it uses less digits than its factorization.

100022012111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82816796 (or 82816785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100022012111112 its reverse (211111210220001), we get a palindrome (311133222331113).

The spelling of 100022012111112 in words is "one hundred trillion, twenty-two billion, twelve million, one hundred eleven thousand, one hundred twelve".