| Base | Representation |
|---|---|
| bin | 10110110010000111101010… |
| … | …001100100001110101000100 |
| 3 | 111010210010212101111122220221 |
| 4 | 112302013222030201311010 |
| 5 | 101113144100111414340 |
| 6 | 553035445555234124 |
| 7 | 30051204446135536 |
| oct | 2662075214416504 |
| 9 | 433703771448827 |
| 10 | 100201221201220 |
| 11 | 29a22110144987 |
| 12 | b2a38022a8944 |
| 13 | 43bac1c470699 |
| 14 | 1aa5a9d181856 |
| 15 | b8b6e506b44a |
| hex | 5b21ea321d44 |
100201221201220 has 144 divisors (see below), whose sum is σ = 223606826181648. Its totient is φ = 37693188628480.
The previous prime is 100201221201197. The next prime is 100201221201223. The reversal of 100201221201220 is 22102122102001.
It is a happy number.
It can be written as a sum of positive squares in 24 ways, for example, as 98790718179904 + 1410503021316 = 9939352^2 + 1187646^2 .
It is a junction number, because it is equal to n+sod(n) for n = 100201221201194 and 100201221201203.
It is not an unprimeable number, because it can be changed into a prime (100201221201223) 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, 425377794 + ... + 425613286.
It is an arithmetic number, because the mean of its divisors is an integer number (1552825181817).
Almost surely, 2100201221201220 is an apocalyptic number.
100201221201220 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 100201221201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111803413090824).
100201221201220 is an abundant number, since it is smaller than the sum of its proper divisors (123405604980428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100201221201220 is a wasteful number, since it uses less digits than its factorization.
100201221201220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 236218 (or 236187 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 100201221201220 its reverse (22102122102001), we get a palindrome (122303343303221).
The spelling of 100201221201220 in words is "one hundred trillion, two hundred one billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty".
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