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101121112201002 = 23172248512346653
BaseRepresentation
bin10110111111100000010111…
…111110001101011100101010
3111021001002021011201020012220
4112333200113332031130222
5101223232014210413002
6555022221520014510
730204521266464225
oct2677402776153452
9437032234636186
10101121112201002
112a24724a685273
12b411b47a61436
1344568abb5c13a
141ad84061985bc
15ba55d39827bc
hex5bf817f8d72a

101121112201002 has 48 divisors (see below), whose sum is σ = 214847362546272. Its totient is φ = 31722980396800.

The previous prime is 101121112200989. The next prime is 101121112201009. The reversal of 101121112201002 is 200102211121101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101121112201009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41918308 + ... + 44264960.

It is an arithmetic number, because the mean of its divisors is an integer number (4475986719714).

Almost surely, 2101121112201002 is an apocalyptic number.

101121112201002 is an abundant number, since it is smaller than the sum of its proper divisors (113726250345270).

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

101121112201002 is a wasteful number, since it uses less digits than its factorization.

101121112201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371543 (or 2371526 counting only the distinct ones).

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

Adding to 101121112201002 its reverse (200102211121101), we get a palindrome (301223323322103).

The spelling of 101121112201002 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred one thousand, two".

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1734 24851 49702 74553 149106 422467 844934 1267401 2346653 2534802 4693306 7039959 7181939 14079918 14363878 21545817 39893101 43091634 79786202 119679303 239358606 678182717 1356365434 2034548151 4069096302 58316673703 116633347406 174950021109 349900042218 991383452951 1982766905902 2974150358853 5948300717706 16853518700167 33707037400334 50560556100501 101121112201002