100011002112 has 216 divisors, whose sum is σ = 331123257920. Its totient is φ = 28438179840.

The previous prime is 100011002111. The next prime is 100011002149. The reversal of 100011002112 is 211200110001.

It is a happy number.

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 = 100011002094 and 100011002103.

It is not an unprimeable number, because it can be changed into a prime (100011002111) 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, 3388314 + ... + 3417702.

Almost surely, 2^100011002112 is an apocalyptic number.

100011002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165561628960).

100011002112 is an abundant number, since it is smaller than the sum of its proper divisors (231112255808).

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

100011002112 is a wasteful number, since it uses less digits than its factorization.

100011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29629 (or 29612 counting only the distinct ones).

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

Adding to 100011002112 its reverse (211200110001), we get a palindrome (311211112113).

The spelling of 100011002112 in words is "one hundred billion, eleven million, two thousand, one hundred twelve".