110101122220221 has 48 divisors (see below), whose sum is σ = 174244492386432. Its totient is φ = 66438816998400.

The previous prime is 110101122220217. The next prime is 110101122220267. The reversal of 110101122220221 is 122022221101011.

110101122220221 is a `hidden beast` number, since 1 + 1 + 0 + 101 + 122 + 220 + 221 = 666.

It is not a de Polignac number, because 110101122220221 - 2² = 110101122220217 is a prime.

It is a super-2 number, since 2×110101122220221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110101122220194 and 110101122220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101122228221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650012581 + ... + 650181941.

It is an arithmetic number, because the mean of its divisors is an integer number (3630093591384).

Almost surely, 2^{110101122220221} is an apocalyptic number.

110101122220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101122220221 is a deficient number, since it is larger than the sum of its proper divisors (64143370166211).

110101122220221 is a wasteful number, since it uses less digits than its factorization.

110101122220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197794 (or 197791 counting only the distinct ones).

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

Adding to 110101122220221 its reverse (122022221101011), we get a palindrome (232123343321232).

The spelling of 110101122220221 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".