221102121122100 has 432 divisors, whose sum is σ = 719384372703360. Its totient is φ = 56753668224000.

The previous prime is 221102121122041. The next prime is 221102121122117. The reversal of 221102121122100 is 1221121201122.

221102121122100 is a `hidden beast` number, since 2 + 211 + 0 + 21 + 211 + 221 + 0 + 0 = 666.

221102121122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221102121122100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4315088281 + ... + 4315139519.

It is an arithmetic number, because the mean of its divisors is an integer number (1665241603480).

Almost surely, 2^{221102121122100} is an apocalyptic number.

221102121122100 is a gapful number since it is divisible by the number (20) 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 221102121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359692186351680).

221102121122100 is an abundant number, since it is smaller than the sum of its proper divisors (498282251581260).

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

221102121122100 is a wasteful number, since it uses less digits than its factorization.

221102121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680 (or 52670 counting only the distinct ones).

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

Adding to 221102121122100 its reverse (1221121201122), we get a palindrome (222323242323222).

The spelling of 221102121122100 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".