| Base | Representation |
|---|---|
| bin | 1001000111010011001010… |
| … | …1111110111011001000100 |
| 3 | 1022110222222102110102112100 |
| 4 | 2101310302233313121010 |
| 5 | 2303141012042010040 |
| 6 | 33151331040352100 |
| 7 | 2052664654340340 |
| oct | 221646257673104 |
| 9 | 38428872412470 |
| 10 | 10021010110020 |
| 11 | 3213982a61708 |
| 12 | 115a180015630 |
| 13 | 578c91b9cca0 |
| 14 | 26903b634620 |
| 15 | 125a096dab30 |
| hex | 91d32bf7644 |
10021010110020 has 576 divisors, whose sum is σ = 39062079673344. Its totient is φ = 2021167779840.
The previous prime is 10021010110019. The next prime is 10021010110051. The reversal of 10021010110020 is 2001101012001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10021010109984 and 10021010110011.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 701105994 + ... + 701120286.
It is an arithmetic number, because the mean of its divisors is an integer number (67816110544).
Almost surely, 210021010110020 is an apocalyptic number.
10021010110020 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 10021010110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531039836672).
10021010110020 is an abundant number, since it is smaller than the sum of its proper divisors (29041069563324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021010110020 is a wasteful number, since it uses less digits than its factorization.
10021010110020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16212 (or 16207 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10021010110020 its reverse (2001101012001), we get a palindrome (12022111122021).
It can be divided in two parts, 100210101 and 10020, that added together give a square (100220121 = 100112).
The spelling of 10021010110020 in words is "ten trillion, twenty-one billion, ten million, one hundred ten thousand, twenty".
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