| Base | Representation |
|---|---|
| bin | 101110100111010001… |
| … | …1001101100010000000 |
| 3 | 100120101021202121122200 |
| 4 | 1131032203031202000 |
| 5 | 3120002114213440 |
| 6 | 113553011233200 |
| 7 | 10142423551260 |
| oct | 1351643154200 |
| 9 | 316337677580 |
| 10 | 100102101120 |
| 11 | 394a903219a |
| 12 | 17497ba8800 |
| 13 | 9593a0a6c8 |
| 14 | 4bb883b7a0 |
| 15 | 290d1a6c30 |
| hex | 174e8cd880 |
100102101120 has 384 divisors, whose sum is σ = 404239904640. Its totient is φ = 22347988992.
The previous prime is 100102101109. The next prime is 100102101131. The reversal of 100102101120 is 21101201001.
It is a happy number.
100102101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (100102101109) and next prime (100102101131).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1704892 + ... + 1762628.
It is an arithmetic number, because the mean of its divisors is an integer number (1052708085).
Almost surely, 2100102101120 is an apocalyptic number.
100102101120 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 100102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202119952320).
100102101120 is an abundant number, since it is smaller than the sum of its proper divisors (304137803520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100102101120 is a wasteful number, since it uses less digits than its factorization.
100102101120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57812 (or 57797 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 100102101120 its reverse (21101201001), we get a palindrome (121203302121).
The spelling of 100102101120 in words is "one hundred billion, one hundred two million, one hundred one thousand, one hundred twenty".
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