110221101120100 has 18 divisors (see below), whose sum is σ = 239179789430834. Its totient is φ = 44088440448000.

The previous prime is 110221101120083. The next prime is 110221101120121. The reversal of 110221101120100 is 1021101122011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 862505978944 + 109358595141156 = 928712^2 + 10457466^2 .

It is a super-2 number, since 2×110221101120100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551105505501 + ... + 551105505700.

Almost surely, 2^{110221101120100} is an apocalyptic number.

110221101120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221101120100 is an abundant number, since it is smaller than the sum of its proper divisors (128958688310734).

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

110221101120100 is a wasteful number, since it uses less digits than its factorization.

110221101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102211011215 (or 1102211011208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110221101120100 its reverse (1021101122011), we get a palindrome (111242202242111).

The spelling of 110221101120100 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty thousand, one hundred".