| Base | Representation |
|---|---|
| bin | 10110110010010000000001… |
| … | …011000101110101001010000 |
| 3 | 111010211000001011002120101200 |
| 4 | 112302100001120232221100 |
| 5 | 101113320442223210000 |
| 6 | 553043532550431200 |
| 7 | 30051643115351646 |
| oct | 2662200130565120 |
| 9 | 433730034076350 |
| 10 | 100210200210000 |
| 11 | 29a259a85a90a1 |
| 12 | b2a54a9362500 |
| 13 | 43bba2078132a |
| 14 | 1aa62b1891196 |
| 15 | b8ba6d49d500 |
| hex | 5b240162ea50 |
100210200210000 has 1200 divisors, whose sum is σ = 360830117501568. Its totient is φ = 25945920000000.
The previous prime is 100210200209993. The next prime is 100210200210007. The reversal of 100210200210000 is 12002012001.
It is an interprime number because it is at equal distance from previous prime (100210200209993) and next prime (100210200210007).
It is a tau number, because it is divible by the number of its divisors (1200).
It is a super-2 number, since 2×1002102002100002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100210200210007) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142953209650 + ... + 142953210350.
Almost surely, 2100210200210000 is an apocalyptic number.
100210200210000 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 100210200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180415058750784).
100210200210000 is an abundant number, since it is smaller than the sum of its proper divisors (260619917291568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100210200210000 is a wasteful number, since it uses less digits than its factorization.
100210200210000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1110 (or 1086 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 100210200210000 its reverse (12002012001), we get a palindrome (100222202222001).
The spelling of 100210200210000 in words is "one hundred trillion, two hundred ten billion, two hundred million, two hundred ten thousand".
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