| Base | Representation |
|---|---|
| bin | 10111001101111001100010… |
| … | …111010100000100111001000 |
| 3 | 111101112122022020111002020010 |
| 4 | 113031321202322200213020 |
| 5 | 101340433203233001300 |
| 6 | 1001100441145231520 |
| 7 | 30336135146165205 |
| oct | 2715714272404710 |
| 9 | 441478266432203 |
| 10 | 102110212000200 |
| 11 | 2a598774736a48 |
| 12 | b5517874925a0 |
| 13 | 44c8c4aaa3601 |
| 14 | 1b30236aaccac |
| 15 | bc11c32bea50 |
| hex | 5cde62ea09c8 |
102110212000200 has 384 divisors, whose sum is σ = 323401395093120. Its totient is φ = 26645395046400.
The previous prime is 102110212000177. The next prime is 102110212000201. The reversal of 102110212000200 is 2000212011201.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (102110212000201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14227419012 + ... + 14227426188.
It is an arithmetic number, because the mean of its divisors is an integer number (842191133055).
Almost surely, 2102110212000200 is an apocalyptic number.
102110212000200 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 102110212000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161700697546560).
102110212000200 is an abundant number, since it is smaller than the sum of its proper divisors (221291183092920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102110212000200 is a wasteful number, since it uses less digits than its factorization.
102110212000200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9777 (or 9768 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 102110212000200 its reverse (2000212011201), we get a palindrome (104110424011401).
It can be divided in two parts, 10211021 and 2000200, that added together give a palindrome (12211221).
The spelling of 102110212000200 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, two hundred", and thus it is an aban number.
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