| Base | Representation |
|---|---|
| bin | 10110110010010001110010… |
| … | …100111111011011100100000 |
| 3 | 111010211011221112220220210000 |
| 4 | 112302101302213323130200 |
| 5 | 101113333340101120000 |
| 6 | 553044445254140000 |
| 7 | 30052041154440423 |
| oct | 2662216247733440 |
| 9 | 433734845826700 |
| 10 | 100212100020000 |
| 11 | 29a26792a34501 |
| 12 | b2a5939651600 |
| 13 | 43bbc64249567 |
| 14 | 1aa6411d099ba |
| 15 | b8bb30170000 |
| hex | 5b24729fb720 |
100212100020000 has 600 divisors, whose sum is σ = 375232428933516. Its totient is φ = 26218992384000.
The previous prime is 100212100019987. The next prime is 100212100020007. The reversal of 100212100020000 is 20001212001.
100212100020000 is digitally balanced in base 4, 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 10 ways, for example, as 2979642154896 + 97232457865104 = 1726164^2 + 9860652^2 .
It is a tau number, because it is divible by the number of its divisors (600).
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 (100212100020007) by changing a digit.
It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 85276422 + ... + 86443578.
Almost surely, 2100212100020000 is an apocalyptic number.
100212100020000 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 100212100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187616214466758).
100212100020000 is an abundant number, since it is smaller than the sum of its proper divisors (275020328913516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100212100020000 is an equidigital number, since it uses as much as digits as its factorization.
100212100020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1167252 (or 1167220 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 100212100020000 its reverse (20001212001), we get a palindrome (100232101232001).
The spelling of 100212100020000 in words is "one hundred trillion, two hundred twelve billion, one hundred million, twenty thousand".
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