| Base | Representation |
|---|---|
| bin | 10110111111011000000000… |
| … | …001000000101011110010000 |
| 3 | 111021000020001122102221222220 |
| 4 | 112333120000020011132100 |
| 5 | 101223110111240431000 |
| 6 | 555014133453101040 |
| 7 | 30204052434655500 |
| oct | 2677300010053620 |
| 9 | 437006048387886 |
| 10 | 101112122202000 |
| 11 | 2a243456aa4a28 |
| 12 | b410259187780 |
| 13 | 4455aa84a0cc0 |
| 14 | 1ad7bd2227a00 |
| 15 | ba52595ce1a0 |
| hex | 5bf600205790 |
101112122202000 has 1920 divisors, whose sum is σ = 420057870575616. Its totient is φ = 20727705600000.
The previous prime is 101112122201999. The next prime is 101112122202001. The reversal of 101112122202000 is 202221211101.
It is an interprime number because it is at equal distance from previous prime (101112122201999) and next prime (101112122202001).
It is a super-2 number, since 2×1011121222020002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (101112122202001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42466240810 + ... + 42466243190.
Almost surely, 2101112122202000 is an apocalyptic number.
101112122202000 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 101112122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210028935287808).
101112122202000 is an abundant number, since it is smaller than the sum of its proper divisors (318945748373616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101112122202000 is a wasteful number, since it uses less digits than its factorization.
101112122202000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2746 (or 2723 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 101112122202000 its reverse (202221211101), we get a palindrome (101314343413101).
The spelling of 101112122202000 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-two million, two hundred two thousand".
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