| Base | Representation |
|---|---|
| bin | 101111100010110110… |
| … | …0011010100000111100 |
| 3 | 100202112121001022120201 |
| 4 | 1133011230122200330 |
| 5 | 3133100324033200 |
| 6 | 114523214453244 |
| 7 | 10243105125433 |
| oct | 1370554324074 |
| 9 | 322477038521 |
| 10 | 102101002300 |
| 11 | 3a334399240 |
| 12 | 17955504224 |
| 13 | 9821b8b87b |
| 14 | 4d280cc11a |
| 15 | 29c88edc6a |
| hex | 17c5b1a83c |
102101002300 has 144 divisors (see below), whose sum is σ = 244256366592. Its totient is φ = 36736761600.
The previous prime is 102101002279. The next prime is 102101002307. The reversal of 102101002300 is 3200101201.
102101002300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1021010023002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102101002307) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70268374 + ... + 70269826.
It is an arithmetic number, because the mean of its divisors is an integer number (1696224768).
Almost surely, 2102101002300 is an apocalyptic number.
102101002300 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 102101002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122128183296).
102101002300 is an abundant number, since it is smaller than the sum of its proper divisors (142155364292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102101002300 is a wasteful number, since it uses less digits than its factorization.
102101002300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2108 (or 2101 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 102101002300 its reverse (3200101201), we get a palindrome (105301103501).
The spelling of 102101002300 in words is "one hundred two billion, one hundred one million, two thousand, three hundred".
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