| Base | Representation |
|---|---|
| bin | 1001010010010011010010… |
| … | …0111110011011011100100 |
| 3 | 1100011001211212010101001202 |
| 4 | 2110210310213303123210 |
| 5 | 2314240110122041400 |
| 6 | 33414230220542032 |
| 7 | 2102435550010154 |
| oct | 224446447633344 |
| 9 | 40131755111052 |
| 10 | 10210020112100 |
| 11 | 32870551a67a6 |
| 12 | 118a92b0b1918 |
| 13 | 590a543872c3 |
| 14 | 27424bcca764 |
| 15 | 12a8bcde94d5 |
| hex | 949349f36e4 |
10210020112100 has 72 divisors (see below), whose sum is σ = 22388538994920. Its totient is φ = 4041112965120.
The previous prime is 10210020112067. The next prime is 10210020112133. The reversal of 10210020112100 is 121102001201.
10210020112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10210020112067) and next prime (10210020112133).
It can be written as a sum of positive squares in 12 ways, for example, as 191794947136 + 10018225164964 = 437944^2 + 3165158^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50698406 + ... + 50899394.
It is an arithmetic number, because the mean of its divisors is an integer number (310951930485).
Almost surely, 210210020112100 is an apocalyptic number.
10210020112100 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 10210020112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11194269497460).
10210020112100 is an abundant number, since it is smaller than the sum of its proper divisors (12178518882820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10210020112100 is a wasteful number, since it uses less digits than its factorization.
10210020112100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 206337 (or 206330 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
Adding to 10210020112100 its reverse (121102001201), we get a palindrome (10331122113301).
The spelling of 10210020112100 in words is "ten trillion, two hundred ten billion, twenty million, one hundred twelve thousand, one hundred".
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