| Base | Representation |
|---|---|
| bin | 10110111101111010110001… |
| … | …100101010000001001000000 |
| 3 | 111020122122200100212101022100 |
| 4 | 112331322301211100021000 |
| 5 | 101214440104132400000 |
| 6 | 554500140443510400 |
| 7 | 30163610011666200 |
| oct | 2675726145201100 |
| 9 | 436578610771270 |
| 10 | 101012020200000 |
| 11 | 2a204a59030258 |
| 12 | b3b4981228400 |
| 13 | 44495147c9760 |
| 14 | 1ad3017814400 |
| 15 | ba284b446a00 |
| hex | 5bdeb1950240 |
101012020200000 has 3024 divisors, whose sum is σ = 465808658869008. Its totient is φ = 20727705600000.
The previous prime is 101012020199983. The next prime is 101012020200109. The reversal of 101012020200000 is 2020210101.
101012020200000 is digitally balanced in base 3, 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 24 ways, for example, as 59020376030784 + 41991644169216 = 7682472^2 + 6480096^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 42424198810 + ... + 42424201190.
It is an arithmetic number, because the mean of its divisors is an integer number (154037254917).
Almost surely, 2101012020200000 is an apocalyptic number.
101012020200000 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 101012020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232904329434504).
101012020200000 is an abundant number, since it is smaller than the sum of its proper divisors (364796638669008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101012020200000 is a wasteful number, since it uses less digits than its factorization.
101012020200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2488 (or 2448 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 101012020200000 its reverse (2020210101), we get a palindrome (101014040410101).
The spelling of 101012020200000 in words is "one hundred one trillion, twelve billion, twenty million, two hundred thousand".
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