| Base | Representation |
|---|---|
| bin | 110000000000001101110110… |
| … | …111000101111010010000100 |
| 3 | 1000200111222111021220211011220 |
| 4 | 300000031312320233102010 |
| 5 | 210133002014134120400 |
| 6 | 2025003411104000340 |
| 7 | 62316665652631512 |
| oct | 6000156670572204 |
| 9 | 1020458437824156 |
| 10 | 211121112020100 |
| 11 | 612a6a62901557 |
| 12 | 1b8188293000b0 |
| 13 | 90a5835099149 |
| 14 | 3a1c46008d4b2 |
| 15 | 1961b2815b7a0 |
| hex | c00376e2f484 |
211121112020100 has 288 divisors, whose sum is σ = 617031332467200. Its totient is φ = 55731533568000.
The previous prime is 211121112020089. The next prime is 211121112020101. The reversal of 211121112020100 is 1020211121112.
It is a happy number.
It is a super-2 number, since 2×2111211120201002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 211121112020100.
It is not an unprimeable number, because it can be changed into a prime (211121112020101) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19670274334 + ... + 19670285066.
It is an arithmetic number, because the mean of its divisors is an integer number (2142469904400).
Almost surely, 2211121112020100 is an apocalyptic number.
211121112020100 is a gapful number since it is divisible by the number (20) 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 211121112020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308515666233600).
211121112020100 is an abundant number, since it is smaller than the sum of its proper divisors (405910220447100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211121112020100 is a wasteful number, since it uses less digits than its factorization.
211121112020100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12351 (or 12344 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 211121112020100 its reverse (1020211121112), we get a palindrome (212141323141212).
The spelling of 211121112020100 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twelve million, twenty thousand, one hundred".
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