100211112 has 72 divisors (see below), whose sum is σ = 276340350. Its totient is φ = 32804352.

The previous prime is 100211101. The next prime is 100211117. The reversal of 100211112 is 211112001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34503876 + 65707236 = 5874^2 + 8106^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 100211094 and 100211103.

It is not an unprimeable number, because it can be changed into a prime (100211117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 886768 + ... + 886880.

Almost surely, 2^100211112 is an apocalyptic number.

100211112 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 100211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138170175).

100211112 is an abundant number, since it is smaller than the sum of its proper divisors (176129238).

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

100211112 is a wasteful number, since it uses less digits than its factorization.

100211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 227 counting only the distinct ones).

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

The square root of 100211112 is about 10010.5500348382. The cubic root of 100211112 is about 464.4852854782.

Adding to 100211112 its reverse (211112001), we get a palindrome (311323113).

The spelling of 100211112 in words is "one hundred million, two hundred eleven thousand, one hundred twelve".