| Base | Representation |
|---|---|
| bin | 10010110100000010… |
| … | …01111110101001101 |
| 3 | 222001220022212210200 |
| 4 | 21122001033311031 |
| 5 | 131141123223041 |
| 6 | 4350122324113 |
| 7 | 505202243235 |
| oct | 113201176515 |
| 9 | 28056285720 |
| 10 | 10100211021 |
| 11 | 431334003a |
| 12 | 1b5a659639 |
| 13 | c4c6a6034 |
| 14 | 6bb5aacc5 |
| 15 | 3e1aa51b6 |
| hex | 25a04fd4d |
10100211021 has 6 divisors (see below), whose sum is σ = 14589193710. Its totient is φ = 6733474008.
The previous prime is 10100211019. The next prime is 10100211059. The reversal of 10100211021 is 12011200101.
It is a happy number.
10100211021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 8064938025 + 2035272996 = 89805^2 + 45114^2 .
It is not a de Polignac number, because 10100211021 - 21 = 10100211019 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122245669 = 10100211021 / (1 + 0 + 1 + 0 + 0 + 2 + 1 + 1 + 0 + 2 + 1).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 10100210994 and 10100211012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10100291021) 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 5 ways as a sum of consecutive naturals, for example, 561122826 + ... + 561122843.
It is an arithmetic number, because the mean of its divisors is an integer number (2431532285).
Almost surely, 210100211021 is an apocalyptic number.
It is an amenable number.
10100211021 is a deficient number, since it is larger than the sum of its proper divisors (4488982689).
10100211021 is a wasteful number, since it uses less digits than its factorization.
10100211021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1122245675 (or 1122245672 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10100211021 its reverse (12011200101), we get a palindrome (22111411122).
The spelling of 10100211021 in words is "ten billion, one hundred million, two hundred eleven thousand, twenty-one".
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