100112021100 has 432 divisors, whose sum is σ = 396660042688. Its totient is φ = 20551034880.

The previous prime is 100112021099. The next prime is 100112021101. The reversal of 100112021100 is 1120211001.

It is a happy number.

100112021100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100112021099) and next prime (100112021101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100112021101) 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 143 ways as a sum of consecutive naturals, for example, 3013782 + ... + 3046818.

Almost surely, 2^100112021100 is an apocalyptic number.

100112021100 is a gapful number since it is divisible by the number (10) 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 100112021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198330021344).

100112021100 is an abundant number, since it is smaller than the sum of its proper divisors (296548021588).

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

100112021100 is a wasteful number, since it uses less digits than its factorization.

100112021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33114 (or 33104 counting only the distinct ones).

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

Adding to 100112021100 its reverse (1120211001), we get a palindrome (101232232101).

The spelling of 100112021100 in words is "one hundred billion, one hundred twelve million, twenty-one thousand, one hundred".