| Base | Representation |
|---|---|
| bin | 10111000000101001110111… |
| … | …001111111101001110110100 |
| 3 | 111021022121221101211211022100 |
| 4 | 113000221313033331032310 |
| 5 | 101231030120121200040 |
| 6 | 555122351502102100 |
| 7 | 30213313560532032 |
| oct | 2700516717751664 |
| 9 | 437277841754270 |
| 10 | 101200020100020 |
| 11 | 2a277762081756 |
| 12 | b4252a9b7a930 |
| 13 | 446117594a74a |
| 14 | 1adc16dc8d552 |
| 15 | ba76a112ab30 |
| hex | 5c0a773fd3b4 |
101200020100020 has 216 divisors, whose sum is σ = 317461720729608. Its totient is φ = 26094189864960.
The previous prime is 101200020100009. The next prime is 101200020100031. The reversal of 101200020100020 is 20001020002101.
It is an interprime number because it is at equal distance from previous prime (101200020100009) and next prime (101200020100031).
It can be written as a sum of positive squares in 4 ways, for example, as 18057026414736 + 83142993685284 = 4249356^2 + 9118278^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 101200020099975 and 101200020100011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206119944 + ... + 206610336.
It is an arithmetic number, because the mean of its divisors is an integer number (1469730188563).
Almost surely, 2101200020100020 is an apocalyptic number.
101200020100020 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 101200020100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158730860364804).
101200020100020 is an abundant number, since it is smaller than the sum of its proper divisors (216261700629588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101200020100020 is a wasteful number, since it uses less digits than its factorization.
101200020100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491663 (or 491627 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 101200020100020 its reverse (20001020002101), we get a palindrome (121201040102121).
The spelling of 101200020100020 in words is "one hundred one trillion, two hundred billion, twenty million, one hundred thousand, twenty".
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