221101222121100 has 108 divisors (see below), whose sum is σ = 699891175816560. Its totient is φ = 58376560272000.

The previous prime is 221101222121099. The next prime is 221101222121159. The reversal of 221101222121100 is 1121222101122.

221101222121100 is a `hidden beast` number, since 221 + 1 + 0 + 1 + 222 + 121 + 100 = 666.

221101222121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1216087440 + ... + 1216269239.

Almost surely, 2^{221101222121100} is an apocalyptic number.

221101222121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101222121100 is an abundant number, since it is smaller than the sum of its proper divisors (478789953695460).

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

221101222121100 is a wasteful number, since it uses less digits than its factorization.

221101222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432356800 (or 2432356790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221101222121100 its reverse (1121222101122), we get a palindrome (222222444222222).

The spelling of 221101222121100 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".