| Base | Representation |
|---|---|
| bin | 101101110000001001101010… |
| … | …010110100100111100111100 |
| 3 | 222101110112120121112110101221 |
| 4 | 231300021222112210330330 |
| 5 | 202333301103020333040 |
| 6 | 1551543352514243124 |
| 7 | 60245511005151220 |
| oct | 5560115226447474 |
| 9 | 871415517473357 |
| 10 | 201221002121020 |
| 11 | 5912a390970852 |
| 12 | 1a699b8a5864a4 |
| 13 | 883809ca51c1b |
| 14 | 3799211574780 |
| 15 | 183e34799574a |
| hex | b7026a5a4f3c |
201221002121020 has 384 divisors, whose sum is σ = 507438997438464. Its totient is φ = 65580451200000.
The previous prime is 201221002121011. The next prime is 201221002121021. The reversal of 201221002121020 is 20121200122102.
It is a happy number.
201221002121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 201221002120985 and 201221002121003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201221002121021) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55417514605 + ... + 55417518235.
It is an arithmetic number, because the mean of its divisors is an integer number (1321455722496).
Almost surely, 2201221002121020 is an apocalyptic number.
201221002121020 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 201221002121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253719498719232).
201221002121020 is an abundant number, since it is smaller than the sum of its proper divisors (306217995317444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201221002121020 is a wasteful number, since it uses less digits than its factorization.
201221002121020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4753 (or 4751 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 201221002121020 its reverse (20121200122102), we get a palindrome (221342202243122).
The spelling of 201221002121020 in words is "two hundred one trillion, two hundred twenty-one billion, two million, one hundred twenty-one thousand, twenty".
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