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101101112020221 = 31937418913137281
BaseRepresentation
bin10110111111001101101111…
…110111100100110011111101
3111020222011122022211202222120
4112333031233313210303331
5101222420034134121341
6555005113142433153
730203212542655245
oct2677155767446375
9436864568752876
10101101112020221
112a239817042445
12b40a0a5a327b9
134454a42420141
141ad7469c66b25
15ba4d12bcd066
hex5bf36fde4cfd

101101112020221 has 64 divisors (see below), whose sum is σ = 150963134918400. Its totient is φ = 59931220377600.

The previous prime is 101101112020189. The next prime is 101101112020301. The reversal of 101101112020221 is 122020211101101.

It is a happy number.

It is not a de Polignac number, because 101101112020221 - 25 = 101101112020189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101112020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101112090221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127101 + ... + 14264381.

It is an arithmetic number, because the mean of its divisors is an integer number (2358798983100).

Almost surely, 2101101112020221 is an apocalyptic number.

It is an amenable number.

101101112020221 is a deficient number, since it is larger than the sum of its proper divisors (49862022898179).

101101112020221 is a wasteful number, since it uses less digits than its factorization.

101101112020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137470.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101112020221 its reverse (122020211101101), we get a palindrome (223121323121322).

The spelling of 101101112020221 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 19 37 41 57 89 111 123 267 703 779 1517 1691 2109 2337 3293 3649 4551 5073 9879 10947 28823 62567 69331 86469 135013 187701 207993 405039 2565247 7695741 13137281 39411843 249608339 486079397 538628521 748825017 1169218009 1458238191 1615885563 3507654027 9235508543 10233941899 19929255277 22215142171 27706525629 30701825697 43261066333 47937938369 59787765831 66645426513 129783198999 143813815107 378655850263 821960260327 910820829011 1135967550789 1773703719653 2465880780981 2732462487033 5321111158959 33700370673407 101101112020221