| Base | Representation |
|---|---|
| bin | 11101101100000101011… |
| … | …01000110011100101000 |
| 3 | 10121112001112022211000000 |
| 4 | 32312002231012130220 |
| 5 | 113203131112010440 |
| 6 | 2100343313343000 |
| 7 | 133462013604120 |
| oct | 16660255063450 |
| 9 | 3545045284000 |
| 10 | 1020100110120 |
| 11 | 363692a11153 |
| 12 | 145851567a60 |
| 13 | 7526c625120 |
| 14 | 37531b4bc80 |
| 15 | 1b8061a9730 |
| hex | ed82b46728 |
1020100110120 has 896 divisors, whose sum is σ = 4458537619200. Its totient is φ = 203891945472.
The previous prime is 1020100110061. The next prime is 1020100110121. The reversal of 1020100110120 is 210110010201.
It is a happy number.
It is a super-2 number, since 2×10201001101202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
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 (1020100110121) 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 223 ways as a sum of consecutive naturals, for example, 50407524 + ... + 50427756.
It is an arithmetic number, because the mean of its divisors is an integer number (4976046450).
Almost surely, 21020100110120 is an apocalyptic number.
1020100110120 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 1020100110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229268809600).
1020100110120 is an abundant number, since it is smaller than the sum of its proper divisors (3438437509080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020100110120 is a wasteful number, since it uses less digits than its factorization.
1020100110120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20301 (or 20282 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 1020100110120 its reverse (210110010201), we get a palindrome (1230210120321).
The spelling of 1020100110120 in words is "one trillion, twenty billion, one hundred million, one hundred ten thousand, one hundred twenty".
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