100121112 has 288 divisors, whose sum is σ = 354790800. Its totient is φ = 25256448.

The previous prime is 100121111. The next prime is 100121123. The reversal of 100121112 is 211121001.

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 = 100121094 and 100121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1696939 + ... + 1696997.

Almost surely, 2^100121112 is an apocalyptic number.

100121112 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 100121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

100121112 is an abundant number, since it is smaller than the sum of its proper divisors (254669688).

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

100121112 is a wasteful number, since it uses less digits than its factorization.

100121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

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

The square root of 100121112 is about 10006.0537675949. The cubic root of 100121112 is about 464.3461917996.

Adding to 100121112 its reverse (211121001), we get a palindrome (311242113).

It can be divided in two parts, 1001 and 21112, that multiplied together give a palindrome (21133112).

The spelling of 100121112 in words is "one hundred million, one hundred twenty-one thousand, one hundred twelve".