| Base | Representation |
|---|---|
| bin | 10110110000101011011100… |
| … | …101111000011010000011000 |
| 3 | 111010102200022012120111222020 |
| 4 | 112300223130233003100120 |
| 5 | 101110033312021402300 |
| 6 | 552522153153454440 |
| 7 | 30041101052302200 |
| oct | 2660533457032030 |
| 9 | 433380265514866 |
| 10 | 100102211122200 |
| 11 | 299941225790a1 |
| 12 | b28858bb71420 |
| 13 | 43b17a0a7c601 |
| 14 | 1aa0d897a7400 |
| 15 | b88d4cbc18a0 |
| hex | 5b0adcbc3418 |
100102211122200 has 576 divisors, whose sum is σ = 367269286475520. Its totient is φ = 22485310848000.
The previous prime is 100102211122181. The next prime is 100102211122211. The reversal of 100102211122200 is 2221112201001.
100102211122200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 100102211122200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396568030 + ... + 396820370.
It is an arithmetic number, because the mean of its divisors is an integer number (637620289020).
Almost surely, 2100102211122200 is an apocalyptic number.
100102211122200 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 100102211122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183634643237760).
100102211122200 is an abundant number, since it is smaller than the sum of its proper divisors (267167075353320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100102211122200 is a wasteful number, since it uses less digits than its factorization.
100102211122200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 252608 (or 252592 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 100102211122200 its reverse (2221112201001), we get a palindrome (102323323323201).
The spelling of 100102211122200 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".
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