| Base | Representation |
|---|---|
| bin | 10110111101110001011100… |
| … | …111111111100111001100000 |
| 3 | 111020121200211211011120001010 |
| 4 | 112331301130333330321200 |
| 5 | 101214304104331413440 |
| 6 | 554451403340140520 |
| 7 | 30163103664624351 |
| oct | 2675613477747140 |
| 9 | 436550754146033 |
| 10 | 101002011201120 |
| 11 | 2a20079222a257 |
| 12 | b3b2a49237740 |
| 13 | 44485aacab303 |
| 14 | 1ad27483cbd28 |
| 15 | ba24628ac580 |
| hex | 5bdc5cffce60 |
101002011201120 has 192 divisors, whose sum is σ = 319176830536704. Its totient is φ = 26847608985600.
The previous prime is 101002011201089. The next prime is 101002011201127. The reversal of 101002011201120 is 21102110200101.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 101002011201096 and 101002011201105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101002011201127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198450970 + ... + 198959270.
It is an arithmetic number, because the mean of its divisors is an integer number (1662379325712).
Almost surely, 2101002011201120 is an apocalyptic number.
101002011201120 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 101002011201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588415268352).
101002011201120 is an abundant number, since it is smaller than the sum of its proper divisors (218174819335584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101002011201120 is a wasteful number, since it uses less digits than its factorization.
101002011201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 509645 (or 509637 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 101002011201120 its reverse (21102110200101), we get a palindrome (122104121401221).
The spelling of 101002011201120 in words is "one hundred one trillion, two billion, eleven million, two hundred one thousand, one hundred twenty".
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