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101101012122110 = 257111310100001211
BaseRepresentation
bin10110111111001101101001…
…111010011111100111111110
3111020222011101100212102112112
4112333031221322133213332
5101222414333100401420
6555005055213334022
730203210220566150
oct2677155172374776
9436864340772475
10101101012122110
112a239775710520
12b40a078497312
134454a27813b30
141ad745a8a0ad0
15ba4d090488c5
hex5bf369e9f9fe

101101012122110 has 64 divisors (see below), whose sum is σ = 244339229320704. Its totient is φ = 29088003484800.

The previous prime is 101101012122007. The next prime is 101101012122113. The reversal of 101101012122110 is 11221210101101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101012122113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049990596 + ... + 5050010615.

It is an arithmetic number, because the mean of its divisors is an integer number (3817800458136).

Almost surely, 2101101012122110 is an apocalyptic number.

101101012122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101012122110 is an abundant number, since it is smaller than the sum of its proper divisors (143238217198594).

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

101101012122110 is a wasteful number, since it uses less digits than its factorization.

101101012122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100001249.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101101012122110 its reverse (11221210101101), we get a palindrome (112322222223211).

The spelling of 101101012122110 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 10100001211 20200002422 50500006055 70700008477 101000012110 111100013321 131300015743 141400016954 222200026642 262600031486 353500042385 555500066605 656500078715 707000084770 777700093247 919100110201 1111000133210 1313000157430 1444300173173 1555400186494 1838200220402 2888600346346 3888500466235 4595500551005 7221500865865 7777000932470 9191001102010 10110101212211 14443001731730 20220202424422 50550506061055 101101012122110