100000021216 has 96 divisors (see below), whose sum is σ = 206180432640. Its totient is φ = 47687270400.

The previous prime is 100000021211. The next prime is 100000021217. The reversal of 100000021216 is 612120000001.

It is a junction number, because it is equal to n+sod(n) for n = 100000021196 and 100000021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000021211) 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 15 ways as a sum of consecutive naturals, for example, 29751376 + ... + 29754736.

It is an arithmetic number, because the mean of its divisors is an integer number (2147712840).

Almost surely, 2^100000021216 is an apocalyptic number.

100000021216 is a gapful number since it is divisible by the number (16) 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 100000021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103090216320).

100000021216 is an abundant number, since it is smaller than the sum of its proper divisors (106180411424).

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

100000021216 is a wasteful number, since it uses less digits than its factorization.

100000021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100000021216 its reverse (612120000001), we get a palindrome (712120021217).

The spelling of 100000021216 in words is "one hundred billion, twenty-one thousand, two hundred sixteen".