110221110010200 has 384 divisors, whose sum is σ = 391414039326720. Its totient is φ = 25134305702400.

The previous prime is 110221110010183. The next prime is 110221110010229. The reversal of 110221110010200 is 2010011122011.

It is a super-2 number, since 2×110221110010200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10233130815 + ... + 10233141585.

It is an arithmetic number, because the mean of its divisors is an integer number (1019307394080).

Almost surely, 2^{110221110010200} is an apocalyptic number.

110221110010200 is a gapful number since it is divisible by the number (10) 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 110221110010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195707019663360).

110221110010200 is an abundant number, since it is smaller than the sum of its proper divisors (281192929316520).

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

110221110010200 is a wasteful number, since it uses less digits than its factorization.

110221110010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16287 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110221110010200 its reverse (2010011122011), we get a palindrome (112231121132211).

The spelling of 110221110010200 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred ten million, ten thousand, two hundred".