100221104214 has 48 divisors (see below), whose sum is σ = 270727142400. Its totient is φ = 26031455280.

The previous prime is 100221104213. The next prime is 100221104227. The reversal of 100221104214 is 412401122001.

100221104214 is a `hidden beast` number, since 10 + 0 + 221 + 10 + 421 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221104213) 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, 36153414 + ... + 36156185.

It is an arithmetic number, because the mean of its divisors is an integer number (5640148800).

Almost surely, 2^100221104214 is an apocalyptic number.

100221104214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100221104214 is an abundant number, since it is smaller than the sum of its proper divisors (170506038186).

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

100221104214 is a wasteful number, since it uses less digits than its factorization.

100221104214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72309625 (or 72309622 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100221104214 its reverse (412401122001), we get a palindrome (512622226215).

The spelling of 100221104214 in words is "one hundred billion, two hundred twenty-one million, one hundred four thousand, two hundred fourteen".