| Base | Representation |
|---|---|
| bin | 1100000100001… |
| … | …11111010100000 |
| 3 | 21001110111201220 |
| 4 | 12002013322200 |
| 5 | 201403020000 |
| 6 | 14013255040 |
| 7 | 2336233020 |
| oct | 602077240 |
| 9 | 231414656 |
| 10 | 101220000 |
| 11 | 521550a2 |
| 12 | 29a94480 |
| 13 | 17c7cbbb |
| 14 | d62ba80 |
| 15 | 8d461a0 |
| hex | 6087ea0 |
101220000 has 240 divisors, whose sum is σ = 381028032. Its totient is φ = 23040000.
The previous prime is 101219977. The next prime is 101220001. The reversal of 101220000 is 22101.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (101220001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419880 + ... + 420120.
Almost surely, 2101220000 is an apocalyptic number.
101220000 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 101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190514016).
101220000 is an abundant number, since it is smaller than the sum of its proper divisors (279808032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101220000 is an equidigital number, since it uses as much as digits as its factorization.
101220000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 281 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 101220000 is about 10060.8150763246. The cubic root of 101220000 is about 466.0388382717.
Adding to 101220000 its reverse (22101), we get a palindrome (101242101).
It can be divided in two parts, 1012 and 20000, that added together give a palindrome (21012).
The spelling of 101220000 in words is "one hundred one million, two hundred twenty thousand".
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