| Base | Representation |
|---|---|
| bin | 1001010001110001110000… |
| … | …1011000110101011111100 |
| 3 | 1100010012121121211100200100 |
| 4 | 2110130130023012223330 |
| 5 | 2314113142110013040 |
| 6 | 33410141153201100 |
| 7 | 2101666533224232 |
| oct | 224343413065374 |
| 9 | 40105547740610 |
| 10 | 10201020001020 |
| 11 | 328325693a072 |
| 12 | 1189038b60190 |
| 13 | 58cc4b8985a4 |
| 14 | 273a36886952 |
| 15 | 12a542be9b30 |
| hex | 9471c2c6afc |
10201020001020 has 288 divisors, whose sum is σ = 35366661832320. Its totient is φ = 2364493824000.
The previous prime is 10201020001009. The next prime is 10201020001057. The reversal of 10201020001020 is 2010002010201.
10201020001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×102010200010202 (a number of 27 digits) contains 22 as substring.
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 = 10201020000993 and 10201020001011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457981 + ... + 4540020.
It is an arithmetic number, because the mean of its divisors is an integer number (122800909140).
Almost surely, 210201020001020 is an apocalyptic number.
10201020001020 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 10201020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683330916160).
10201020001020 is an abundant number, since it is smaller than the sum of its proper divisors (25165641831300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10201020001020 is a wasteful number, since it uses less digits than its factorization.
10201020001020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4998085 (or 4998080 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10201020001020 its reverse (2010002010201), we get a palindrome (12211022011221).
The spelling of 10201020001020 in words is "ten trillion, two hundred one billion, twenty million, one thousand, twenty".
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