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101101120221 = 341962985363
BaseRepresentation
bin101111000101000011…
…0001010101011011101
3100122221220121001020010
41132022012022223131
53124023341321341
6114240055513433
710206244225353
oct1361206125335
9318856531203
10101101120221
1139970a46012
1217716688879
1396c299327a
144c713b17d3
15296ac42716
hex178a18aadd

101101120221 has 16 divisors (see below), whose sum is σ = 138105293760. Its totient is φ = 65749226880.

The previous prime is 101101120213. The next prime is 101101120273. The reversal of 101101120221 is 122021101101.

It is not a de Polignac number, because 101101120221 - 23 = 101101120213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101120197 and 101101120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141686 + ... + 1227048.

It is an arithmetic number, because the mean of its divisors is an integer number (8631580860).

Almost surely, 2101101120221 is an apocalyptic number.

It is an amenable number.

101101120221 is a deficient number, since it is larger than the sum of its proper divisors (37004173539).

101101120221 is an equidigital number, since it uses as much as digits as its factorization.

101101120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95036.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101120221 its reverse (122021101101), we get a palindrome (223122221322).

The spelling of 101101120221 in words is "one hundred one billion, one hundred one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 41 123 9629 28887 85363 256089 394789 1184367 3499883 10499649 821960327 2465880981 33700373407 101101120221