| Base | Representation |
|---|---|
| bin | 10110111111100001010100… |
| … | …000110111100000011100100 |
| 3 | 111021001011212111011201200000 |
| 4 | 112333201110012330003210 |
| 5 | 101223241101001401040 |
| 6 | 555022510000421300 |
| 7 | 30204555300252015 |
| oct | 2677412406740344 |
| 9 | 437034774151600 |
| 10 | 101122121122020 |
| 11 | 2a247718141599 |
| 12 | b412189917830 |
| 13 | 4456a0cba0a1b |
| 14 | 1ad84a018900c |
| 15 | ba5642327130 |
| hex | 5bf8541bc0e4 |
101122121122020 has 288 divisors, whose sum is σ = 321295103490816. Its totient is φ = 26694930240000.
The previous prime is 101122121122013. The next prime is 101122121122049. The reversal of 101122121122020 is 20221121221101.
101122121122020 is a `hidden beast` number, since 1 + 0 + 11 + 221 + 211 + 220 + 2 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 101122121121984 and 101122121122002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4859994457 + ... + 4860015263.
It is an arithmetic number, because the mean of its divisors is an integer number (1115607998232).
Almost surely, 2101122121122020 is an apocalyptic number.
101122121122020 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 101122121122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160647551745408).
101122121122020 is an abundant number, since it is smaller than the sum of its proper divisors (220172982368796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101122121122020 is a wasteful number, since it uses less digits than its factorization.
101122121122020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30833 (or 30819 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 101122121122020 its reverse (20221121221101), we get a palindrome (121343242343121).
The spelling of 101122121122020 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty".
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