100221012 has 72 divisors (see below), whose sum is σ = 264301856. Its totient is φ = 31990464.

The previous prime is 100220993. The next prime is 100221019. The reversal of 100221012 is 210122001.

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 = 100220985 and 100221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221019) 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, 88683 + ... + 89805.

Almost surely, 2^100221012 is an apocalyptic number.

100221012 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 100221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132150928).

100221012 is an abundant number, since it is smaller than the sum of its proper divisors (164080844).

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

100221012 is a wasteful number, since it uses less digits than its factorization.

100221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100221012 is about 10011.0445009499. The cubic root of 100221012 is about 464.5005806978.

Adding to 100221012 its reverse (210122001), we get a palindrome (310343013).

The spelling of 100221012 in words is "one hundred million, two hundred twenty-one thousand, twelve".