| Base | Representation |
|---|---|
| bin | 10111001101110010000000… |
| … | …100101111110101000000000 |
| 3 | 111101111212102021221212210000 |
| 4 | 113031302000211332220000 |
| 5 | 101340320120210000000 |
| 6 | 1001053022201440000 |
| 7 | 30335430500261661 |
| oct | 2715620045765000 |
| 9 | 441455367855700 |
| 10 | 102102120000000 |
| 11 | 2a5952a1a4147a |
| 12 | b5500a94a0000 |
| 13 | 44c825b48b003 |
| 14 | 1b2daaa0d7368 |
| 15 | bc0d9cba0000 |
| hex | 5cdc8097ea00 |
102102120000000 has 800 divisors, whose sum is σ = 380946042549072. Its totient is φ = 27226368000000.
The previous prime is 102102119999993. The next prime is 102102120000007. The reversal of 102102120000000 is 21201201.
It is an interprime number because it is at equal distance from previous prime (102102119999993) and next prime (102102120000007).
It can be written as a sum of positive squares in 8 ways, for example, as 101382988863744 + 719131136256 = 10068912^2 + 848016^2 .
It is a tau number, because it is divible by the number of its divisors (800).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (102102120000007) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3239984244 + ... + 3240015756.
Almost surely, 2102102120000000 is an apocalyptic number.
102102120000000 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 102102120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190473021274536).
102102120000000 is an abundant number, since it is smaller than the sum of its proper divisors (278843922549072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102102120000000 is an frugal number, since it uses more digits than its factorization.
102102120000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31578 (or 31523 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 102102120000000 its reverse (21201201), we get a palindrome (102102141201201).
The spelling of 102102120000000 in words is "one hundred two trillion, one hundred two billion, one hundred twenty million", and thus it is an aban number.
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