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101101001212012 = 221953613471185787
BaseRepresentation
bin10110111111001101101001…
…010000111000000001101100
3111020222011100121100010200211
4112333031221100320001230
5101222414322302241022
6555005054143432204
730203210026056244
oct2677155120700154
9436864317303624
10101101001212012
112a23976a53960a
12b40a0748b5664
134454a25493c59
141ad7459260b24
15ba4d080e0e77
hex5bf36943806c

101101001212012 has 96 divisors (see below), whose sum is σ = 193419287873280. Its totient is φ = 46082869297920.

The previous prime is 101101001212009. The next prime is 101101001212087. The reversal of 101101001212012 is 210212100101101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101101001211983 and 101101001212001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84667783 + ... + 85853569.

It is an arithmetic number, because the mean of its divisors is an integer number (2014784248680).

Almost surely, 2101101001212012 is an apocalyptic number.

It is an amenable number.

101101001212012 is a deficient number, since it is larger than the sum of its proper divisors (92318286661268).

101101001212012 is a wasteful number, since it uses less digits than its factorization.

101101001212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186271 (or 1186269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101001212012 its reverse (210212100101101), we get a palindrome (311313101313113).

The spelling of 101101001212012 in words is "one hundred one trillion, one hundred one billion, one million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 19 38 53 61 76 106 122 212 244 347 694 1007 1159 1388 2014 2318 3233 4028 4636 6466 6593 12932 13186 18391 21167 26372 36782 42334 61427 73564 84668 122854 245708 349429 402173 698858 804346 1121851 1185787 1397716 1608692 2243702 2371574 4487404 4743148 21315169 22529953 42630338 45059906 62846711 72333007 85260676 90119812 125693422 144666014 251386844 289332028 411468089 822936178 1194087509 1374327133 1645872356 2388175018 2748654266 3833649371 4776350036 5497308532 7667298742 7817893691 15334597484 15635787382 21807808717 25099553429 31271574764 43615617434 50199106858 72839338049 87231234868 100398213716 145678676098 291357352196 414348365623 476891515151 828696731246 953783030302 1330276331737 1657393462492 1907566060604 2660552663474 5321105326948 25275250303003 50550500606006 101101001212012