100100021112 has 768 divisors, whose sum is σ = 367847101440. Its totient is φ = 23844077568.

The previous prime is 100100021111. The next prime is 100100021179. The reversal of 100100021112 is 211120001001.

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 = 100100021094 and 100100021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100021111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440969143 + ... + 440969369.

It is an arithmetic number, because the mean of its divisors is an integer number (478967580).

Almost surely, 2^100100021112 is an apocalyptic number.

100100021112 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 100100021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183923550720).

100100021112 is an abundant number, since it is smaller than the sum of its proper divisors (267747080328).

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

100100021112 is a wasteful number, since it uses less digits than its factorization.

100100021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

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

Adding to 100100021112 its reverse (211120001001), we get a palindrome (311220022113).

The spelling of 100100021112 in words is "one hundred billion, one hundred million, twenty-one thousand, one hundred twelve".