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101101100221220 = 22511241777314141
BaseRepresentation
bin10110111111001101101111…
…001010100100001100100100
3111020222011121111122022210112
4112333031233022210030210
5101222420023124034340
6555005112041512152
730203212340453651
oct2677155712441444
9436864544568715
10101101100221220
112a239810413700
12b40a0a1aa2658
134454a3cb4b798
141ad7468474c28
15ba4d11b4c065
hex5bf36f2a4324

101101100221220 has 36 divisors (see below), whose sum is σ = 233368076797212. Its totient is φ = 36764036443200.

The previous prime is 101101100221213. The next prime is 101101100221249. The reversal of 101101100221220 is 22122001101101.

It can be written as a sum of positive squares in 2 ways, for example, as 80312461205284 + 20788639015936 = 8961722^2 + 4559456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101100221195 and 101101100221204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20888654651 + ... + 20888659490.

Almost surely, 2101101100221220 is an apocalyptic number.

101101100221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101100221220 is an abundant number, since it is smaller than the sum of its proper divisors (132266976575992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101100221220 is a wasteful number, since it uses less digits than its factorization.

101101100221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41777314172 (or 41777314159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101100221220 its reverse (22122001101101), we get a palindrome (123223101322321).

The spelling of 101101100221220 in words is "one hundred one trillion, one hundred one billion, one hundred million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 41777314141 83554628282 167109256564 208886570705 417773141410 459550455551 835546282820 919100911102 1838201822204 2297752277755 4595504555510 5055055011061 9191009111020 10110110022122 20220220044244 25275275055305 50550550110610 101101100221220