| Base | Representation |
|---|---|
| bin | 1001010010010011100101… |
| … | …1001000000110110101000 |
| 3 | 1100011002001102200020122100 |
| 4 | 2110210321121000312220 |
| 5 | 2314240241112333000 |
| 6 | 33414242155453400 |
| 7 | 2102440541041233 |
| oct | 224447131006650 |
| 9 | 40132042606570 |
| 10 | 10210100121000 |
| 11 | 328709638365a |
| 12 | 118a951a57260 |
| 13 | 590a67b1b750 |
| 14 | 27425879641a |
| 15 | 12a8c4e50a00 |
| hex | 94939640da8 |
10210100121000 has 384 divisors, whose sum is σ = 37275189588000. Its totient is φ = 2505788006400.
The previous prime is 10210100120993. The next prime is 10210100121007. The reversal of 10210100121000 is 12100101201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10210100120993) and next prime (10210100121007).
It can be written as a sum of positive squares in 16 ways, for example, as 1329330597156 + 8880769523844 = 1152966^2 + 2980062^2 .
It is a super-2 number, since 2×102101001210002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (10210100121007) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39299526 + ... + 39558474.
Almost surely, 210210100121000 is an apocalyptic number.
10210100121000 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 10210100121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637594794000).
10210100121000 is an abundant number, since it is smaller than the sum of its proper divisors (27065089467000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10210100121000 is a wasteful number, since it uses less digits than its factorization.
10210100121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 259326 (or 259309 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10210100121000 its reverse (12100101201), we get a palindrome (10222200222201).
The spelling of 10210100121000 in words is "ten trillion, two hundred ten billion, one hundred million, one hundred twenty-one thousand".
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