| Base | Representation |
|---|---|
| bin | 11101000110110101011… |
| … | …10110010001100110000 |
| 3 | 10112121102211120011001220 |
| 4 | 32203122232302030300 |
| 5 | 112341202120010000 |
| 6 | 2043235055025040 |
| 7 | 132153314446560 |
| oct | 16433256621460 |
| 9 | 3477384504056 |
| 10 | 1000102110000 |
| 11 | 356160628724 |
| 12 | 1419b020b180 |
| 13 | 7340349a866 |
| 14 | 36595c26da0 |
| 15 | 1b0356d61a0 |
| hex | e8dabb2330 |
1000102110000 has 400 divisors, whose sum is σ = 3693075437568. Its totient is φ = 228384000000.
The previous prime is 1000102109987. The next prime is 1000102110001. The reversal of 1000102110000 is 112010001.
1000102110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (400).
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 not an unprimeable number, because it can be changed into a prime (1000102110001) 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, 409708780 + ... + 409711220.
Almost surely, 21000102110000 is an apocalyptic number.
1000102110000 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 1000102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846537718784).
1000102110000 is an abundant number, since it is smaller than the sum of its proper divisors (2692973327568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000102110000 is a wasteful number, since it uses less digits than its factorization.
1000102110000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4430 (or 4409 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 1000102110000 its reverse (112010001), we get a palindrome (1000214120001).
Subtracting from 1000102110000 its reverse (112010001), we obtain a palindrome (999990099999).
The spelling of 1000102110000 in words is "one trillion, one hundred two million, one hundred ten thousand".
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