| Base | Representation |
|---|---|
| bin | 101110100111010001… |
| … | …1001101100000001000 |
| 3 | 100120101021202121111020 |
| 4 | 1131032203031200020 |
| 5 | 3120002114213000 |
| 6 | 113553011232440 |
| 7 | 10142423551026 |
| oct | 1351643154010 |
| 9 | 316337677436 |
| 10 | 100102101000 |
| 11 | 394a90320a0 |
| 12 | 17497ba8720 |
| 13 | 9593a0a635 |
| 14 | 4bb883b716 |
| 15 | 290d1a6ba0 |
| hex | 174e8cd808 |
100102101000 has 384 divisors, whose sum is σ = 345365804160. Its totient is φ = 23939136000.
The previous prime is 100102100999. The next prime is 100102101007. The reversal of 100102101000 is 101201001.
It is a super-2 number, since 2×1001021010002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 100102101000.
It is not an unprimeable number, because it can be changed into a prime (100102101007) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637592922 + ... + 637593078.
It is an arithmetic number, because the mean of its divisors is an integer number (899390115).
Almost surely, 2100102101000 is an apocalyptic number.
100102101000 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 100102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172682902080).
100102101000 is an abundant number, since it is smaller than the sum of its proper divisors (245263703160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100102101000 is a wasteful number, since it uses less digits than its factorization.
100102101000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 470 (or 317 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 100102101000 its reverse (101201001), we get a palindrome (100203302001).
It can be divided in two parts, 100102 and 101000, that added together give a palindrome (201102).
The spelling of 100102101000 in words is "one hundred billion, one hundred two million, one hundred one thousand".
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