| Base | Representation |
|---|---|
| bin | 1001000110001101000110… |
| … | …0101011100111010101000 |
| 3 | 1022102012102112010222110100 |
| 4 | 2101203101211130322220 |
| 5 | 2302334001212333000 |
| 6 | 33134540341145400 |
| 7 | 2051430562146243 |
| oct | 221432145347250 |
| 9 | 38365375128410 |
| 10 | 10002200121000 |
| 11 | 3206a0023653a |
| 12 | 11565b06bb260 |
| 13 | 577284bccc79 |
| 14 | 2681753dc25a |
| 15 | 1252a8185a00 |
| hex | 918d195cea8 |
10002200121000 has 1296 divisors, whose sum is σ = 37619501004540. Its totient is φ = 2396423577600.
The previous prime is 10002200120987. The next prime is 10002200121071. The reversal of 10002200121000 is 12100220001.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 54 ways, for example, as 1600979028804 + 8401221092196 = 1265298^2 + 2898486^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 188720756974 + ... + 188720757026.
Almost surely, 210002200121000 is an apocalyptic number.
10002200121000 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 10002200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809750502270).
10002200121000 is an abundant number, since it is smaller than the sum of its proper divisors (27617300883540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10002200121000 is a wasteful number, since it uses less digits than its factorization.
10002200121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 241 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10002200121000 its reverse (12100220001), we get a palindrome (10014300341001).
Subtracting from 10002200121000 its reverse (12100220001), we obtain a palindrome (9990099900999).
It can be divided in two parts, 10002 and 200121000, that added together give a palindrome (200131002).
The spelling of 10002200121000 in words is "ten trillion, two billion, two hundred million, one hundred twenty-one thousand".
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