| Base | Representation |
|---|---|
| bin | 10010110110101001… |
| … | …10010100001111100 |
| 3 | 222010102112112001201 |
| 4 | 21123110302201330 |
| 5 | 131212230023400 |
| 6 | 4352223545244 |
| 7 | 505556344663 |
| oct | 113324624174 |
| 9 | 28112475051 |
| 10 | 10122111100 |
| 11 | 4324738982 |
| 12 | 1b65a5b224 |
| 13 | c540a326a |
| 14 | 6c046bdda |
| 15 | 3e397e06a |
| hex | 25b53287c |
10122111100 has 72 divisors (see below), whose sum is σ = 23312445408. Its totient is φ = 3801600000.
The previous prime is 10122111079. The next prime is 10122111107. The reversal of 10122111100 is 111122101.
10122111100 is digitally balanced in base 2, 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 (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10122111107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729225 + ... + 742975.
It is an arithmetic number, because the mean of its divisors is an integer number (323783964).
Almost surely, 210122111100 is an apocalyptic number.
10122111100 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 10122111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656222704).
10122111100 is an abundant number, since it is smaller than the sum of its proper divisors (13190334308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122111100 is a wasteful number, since it uses less digits than its factorization.
10122111100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14215 (or 14208 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 10.
Adding to 10122111100 its reverse (111122101), we get a palindrome (10233233201).
It can be divided in two parts, 1012 and 2111100, that added together give a palindrome (2112112).
The spelling of 10122111100 in words is "ten billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".
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