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101101001122212 = 223721313226190623
BaseRepresentation
bin10110111111001101101001…
…010000100010000110100100
3111020222011100121011120111220
4112333031221100202012210
5101222414322241402322
6555005054141500340
730203210025233400
oct2677155120420644
9436864317146456
10101101001122212
112a23976a4880a3
12b40a0748716b0
134454a25462110
141ad745923a100
15ba4d080c455c
hex5bf3694221a4

101101001122212 has 72 divisors (see below), whose sum is σ = 295526003302656. Its totient is φ = 26664000293952.

The previous prime is 101101001122189. The next prime is 101101001122249. The reversal of 101101001122212 is 212221100101101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101101001122191 and 101101001122200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6613087668 + ... + 6613102955.

It is an arithmetic number, because the mean of its divisors is an integer number (4104527823648).

Almost surely, 2101101001122212 is an apocalyptic number.

101101001122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101001122212 is an abundant number, since it is smaller than the sum of its proper divisors (194425002180444).

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

101101001122212 is a wasteful number, since it uses less digits than its factorization.

101101001122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226190657 (or 13226190648 counting only the distinct ones).

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

Adding to 101101001122212 its reverse (212221100101101), we get a palindrome (313322101223313).

The spelling of 101101001122212 in words is "one hundred one trillion, one hundred one billion, one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 13226190623 26452381246 39678571869 52904762492 79357143738 92583334361 158714287476 171940478099 185166668722 277750003083 343880956198 370333337444 515821434297 555500006166 648083340527 687761912396 1031642868594 1111000012332 1203583346693 1296166681054 1944250021581 2063285737188 2407166693386 2592333362108 3610750040079 3888500043162 4814333386772 7221500080158 7777000086324 8425083426851 14443000160316 16850166853702 25275250280553 33700333707404 50550500561106 101101001122212