| Base | Representation |
|---|---|
| bin | 110010010000010001111100… |
| … | …111000000000110000010100 |
| 3 | 1001222120102010022200022012220 |
| 4 | 302100101330320000300110 |
| 5 | 212432202214200010400 |
| 6 | 2102023410331542340 |
| 7 | 64361151125144031 |
| oct | 6220217470006024 |
| 9 | 1058512108608186 |
| 10 | 221021112110100 |
| 11 | 64473588861055 |
| 12 | 209574572ba9b0 |
| 13 | 9643280746b93 |
| 14 | 3c8169c182388 |
| 15 | 1a843edd817a0 |
| hex | c9047ce00c14 |
221021112110100 has 144 divisors (see below), whose sum is σ = 641628064425600. Its totient is φ = 58741883205120.
The previous prime is 221021112110081. The next prime is 221021112110173. The reversal of 221021112110100 is 1011211120122.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 221021112110100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192101742 + ... + 193248858.
It is an arithmetic number, because the mean of its divisors is an integer number (4455750447400).
Almost surely, 2221021112110100 is an apocalyptic number.
221021112110100 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 221021112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320814032212800).
221021112110100 is an abundant number, since it is smaller than the sum of its proper divisors (420606952315500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221021112110100 is a wasteful number, since it uses less digits than its factorization.
221021112110100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1149282 (or 1149275 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 221021112110100 its reverse (1011211120122), we get a palindrome (222032323230222).
The spelling of 221021112110100 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twelve million, one hundred ten thousand, one hundred".
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