| Base | Representation |
|---|---|
| bin | 10110111110000100001011… |
| … | …000111001011010110100100 |
| 3 | 111020200121201200202002211211 |
| 4 | 112332010023013023112210 |
| 5 | 101220121241210400400 |
| 6 | 554504530114241204 |
| 7 | 30164415054404050 |
| oct | 2676041307132644 |
| 9 | 436617650662754 |
| 10 | 101022112200100 |
| 11 | 2a209267772303 |
| 12 | b3b6918b86204 |
| 13 | 444a462589350 |
| 14 | 1ad36d3c84c60 |
| 15 | ba2c3c428dba |
| hex | 5be10b1cb5a4 |
101022112200100 has 576 divisors, whose sum is σ = 278388422000640. Its totient is φ = 30966818918400.
The previous prime is 101022112200089. The next prime is 101022112200103. The reversal of 101022112200100 is 1002211220101.
101022112200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (101022112200103) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 70992347989 + ... + 70992349411.
It is an arithmetic number, because the mean of its divisors is an integer number (483313232640).
Almost surely, 2101022112200100 is an apocalyptic number.
101022112200100 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 101022112200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139194211000320).
101022112200100 is an abundant number, since it is smaller than the sum of its proper divisors (177366309800540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101022112200100 is a wasteful number, since it uses less digits than its factorization.
101022112200100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2740 (or 2733 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 13.
Adding to 101022112200100 its reverse (1002211220101), we get a palindrome (102024323420201).
The spelling of 101022112200100 in words is "one hundred one trillion, twenty-two billion, one hundred twelve million, two hundred thousand, one hundred".
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