| Base | Representation |
|---|---|
| bin | 1001000110001000101101… |
| … | …0111110001101110011100 |
| 3 | 1022102002101102112220002210 |
| 4 | 2101202023113301232130 |
| 5 | 2302324043131143400 |
| 6 | 33134223420520420 |
| 7 | 2051356436331330 |
| oct | 221421327615634 |
| 9 | 38362342486083 |
| 10 | 10001022131100 |
| 11 | 32064562a3270 |
| 12 | 11563220b0110 |
| 13 | 577127b43b20 |
| 14 | 2680a2b9b7c0 |
| 15 | 125239a46950 |
| hex | 9188b5f1b9c |
10001022131100 has 1152 divisors, whose sum is σ = 39517370726400. Its totient is φ = 1885685760000.
The previous prime is 10001022131063. The next prime is 10001022131137. The reversal of 10001022131100 is 113122010001.
10001022131100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10001022131063) and next prime (10001022131137).
It is a super-3 number, since 3×100010221311003 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4519213594 + ... + 4519215806.
It is an arithmetic number, because the mean of its divisors is an integer number (34303273200).
Almost surely, 210001022131100 is an apocalyptic number.
10001022131100 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 10001022131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758685363200).
10001022131100 is an abundant number, since it is smaller than the sum of its proper divisors (29516348595300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001022131100 is a wasteful number, since it uses less digits than its factorization.
10001022131100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2511 (or 2504 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
Adding to 10001022131100 its reverse (113122010001), we get a palindrome (10114144141101).
The spelling of 10001022131100 in words is "ten trillion, one billion, twenty-two million, one hundred thirty-one thousand, one hundred".
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