| Base | Representation |
|---|---|
| bin | 10010101010100111… |
| … | …11011001011101100 |
| 3 | 221212101200210000001 |
| 4 | 21111103323023230 |
| 5 | 131010413033400 |
| 6 | 4334221314044 |
| 7 | 503222655022 |
| oct | 112523731354 |
| 9 | 27771623001 |
| 10 | 10021221100 |
| 11 | 4282799810 |
| 12 | 1b38105924 |
| 13 | c3920a637 |
| 14 | 6b0cc8712 |
| 15 | 3d9ba0a6a |
| hex | 2554fb2ec |
10021221100 has 72 divisors (see below), whose sum is σ = 24023462400. Its totient is φ = 3597921600.
The previous prime is 10021221097. The next prime is 10021221103. The reversal of 10021221100 is 112212001.
It is an interprime number because it is at equal distance from previous prime (10021221097) and next prime (10021221103).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (10021221103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29241 + ... + 144559.
It is an arithmetic number, because the mean of its divisors is an integer number (333659200).
Almost surely, 210021221100 is an apocalyptic number.
10021221100 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 10021221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011731200).
10021221100 is an abundant number, since it is smaller than the sum of its proper divisors (14002241300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021221100 is a wasteful number, since it uses less digits than its factorization.
10021221100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115423 (or 115416 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 10021221100 its reverse (112212001), we get a palindrome (10133433101).
Subtracting from 10021221100 its reverse (112212001), we obtain a palindrome (9909009099).
The spelling of 10021221100 in words is "ten billion, twenty-one million, two hundred twenty-one thousand, one hundred".
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