| Base | Representation |
|---|---|
| bin | 101111100011001001… |
| … | …1000000101011100100 |
| 3 | 100202120022002100121001 |
| 4 | 1133012103000223210 |
| 5 | 3133110421320400 |
| 6 | 114524215403044 |
| 7 | 10243260125413 |
| oct | 1370623005344 |
| 9 | 322508070531 |
| 10 | 102111120100 |
| 11 | 3a33a079960 |
| 12 | 17958983484 |
| 13 | 9823cc1c32 |
| 14 | 4d295a347a |
| 15 | 29c974ba6a |
| hex | 17c64c0ae4 |
102111120100 has 144 divisors (see below), whose sum is σ = 251124926976. Its totient is φ = 35702784000.
The previous prime is 102111120077. The next prime is 102111120107. The reversal of 102111120100 is 1021111201.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (102111120107) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 5344164 + ... + 5363236.
It is an arithmetic number, because the mean of its divisors is an integer number (1743923104).
Almost surely, 2102111120100 is an apocalyptic number.
102111120100 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 102111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125562463488).
102111120100 is an abundant number, since it is smaller than the sum of its proper divisors (149013806876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102111120100 is a wasteful number, since it uses less digits than its factorization.
102111120100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19286 (or 19279 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 10.
Adding to 102111120100 its reverse (1021111201), we get a palindrome (103132231301).
102111120100 divided by its reverse (1021111201) gives a square (100 = 102).
It can be divided in two parts, 10211 and 1120100, that added together give a palindrome (1130311).
The spelling of 102111120100 in words is "one hundred two billion, one hundred eleven million, one hundred twenty thousand, one hundred".
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