| Base | Representation |
|---|---|
| bin | 10010110110100001… |
| … | …00101111101001100 |
| 3 | 222010100110122001000 |
| 4 | 21123100211331030 |
| 5 | 131211434323040 |
| 6 | 4352144220300 |
| 7 | 505544113521 |
| oct | 113320457514 |
| 9 | 28110418030 |
| 10 | 10121011020 |
| 11 | 432405741a |
| 12 | 1b6560a690 |
| 13 | c53aa9623 |
| 14 | 6c0263148 |
| 15 | 3e3813130 |
| hex | 25b425f4c |
10121011020 has 192 divisors, whose sum is σ = 33268838400. Its totient is φ = 2550240000.
The previous prime is 10121011009. The next prime is 10121011039. The reversal of 10121011020 is 2011012101.
It is a happy number.
10121011020 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 2×101210110202 (a number of 21 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 = 10121010993 and 10121011011.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729145 + ... + 742895.
It is an arithmetic number, because the mean of its divisors is an integer number (173275200).
Almost surely, 210121011020 is an apocalyptic number.
10121011020 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 10121011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634419200).
10121011020 is an abundant number, since it is smaller than the sum of its proper divisors (23147827380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10121011020 is a wasteful number, since it uses less digits than its factorization.
10121011020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13845 (or 13837 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10121011020 its reverse (2011012101), we get a palindrome (12132023121).
The spelling of 10121011020 in words is "ten billion, one hundred twenty-one million, eleven thousand, twenty".
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