| Base | Representation |
|---|---|
| bin | 10111001101110001001010… |
| … | …011111000000000011110000 |
| 3 | 111101111210002000202220221020 |
| 4 | 113031301022133000003300 |
| 5 | 101340311240310414300 |
| 6 | 1001052352132255440 |
| 7 | 30335366135152152 |
| oct | 2715611237000360 |
| 9 | 441453060686836 |
| 10 | 102101212201200 |
| 11 | 2a594976572833 |
| 12 | b54ba95471580 |
| 13 | 44c8145393964 |
| 14 | 1b2da2170aad2 |
| 15 | bc0d481328a0 |
| hex | 5cdc4a7c00f0 |
102101212201200 has 240 divisors, whose sum is σ = 327450130350336. Its totient is φ = 27194877900800.
The previous prime is 102101212201199. The next prime is 102101212201207. The reversal of 102101212201200 is 2102212101201.
It is a tau number, because it is divible by the number of its divisors (240).
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 102101212201200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102101212201207) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6412176439 + ... + 6412192361.
Almost surely, 2102101212201200 is an apocalyptic number.
102101212201200 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 102101212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163725065175168).
102101212201200 is an abundant number, since it is smaller than the sum of its proper divisors (225348918149136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102101212201200 is a wasteful number, since it uses less digits than its factorization.
102101212201200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21912 (or 21901 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 102101212201200 its reverse (2102212101201), we get a palindrome (104203424302401).
Subtracting from 102101212201200 its reverse (2102212101201), we obtain a palindrome (99999000099999).
The spelling of 102101212201200 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, two hundred one thousand, two hundred".
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