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102121111110 = 235375910115439
BaseRepresentation
bin101111100011011100…
…1000111111001000110
3100202120222212221200110
41133012321013321012
53133121001023420
6114525213453450
710243441056624
oct1370671077106
9322528787613
10102121111110
113a344783297
12179601a1286
1398260ac685
144d2aa44514
1529ca571ee0
hex17c6e47e46

102121111110 has 128 divisors (see below), whose sum is σ = 258532300800. Its totient is φ = 25787635200.

The previous prime is 102121111093. The next prime is 102121111151. The reversal of 102121111110 is 11111121201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6606771 + ... + 6622209.

It is an arithmetic number, because the mean of its divisors is an integer number (2019783600).

Almost surely, 2102121111110 is an apocalyptic number.

102121111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266150400).

102121111110 is an abundant number, since it is smaller than the sum of its proper divisors (156411189690).

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

102121111110 is a wasteful number, since it uses less digits than its factorization.

102121111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15646.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102121111110 its reverse (11111121201), we get a palindrome (113232232311).

The spelling of 102121111110 in words is "one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 59 74 101 111 118 177 185 202 222 295 303 354 370 505 555 590 606 885 1010 1110 1515 1770 2183 3030 3737 4366 5959 6549 7474 10915 11211 11918 13098 15439 17877 18685 21830 22422 29795 30878 32745 35754 37370 46317 56055 59590 65490 77195 89385 92634 112110 154390 178770 220483 231585 440966 463170 571243 661449 910901 1102415 1142486 1322898 1559339 1713729 1821802 2204830 2732703 2856215 3118678 3307245 3427458 4554505 4678017 5465406 5712430 6614490 7796695 8568645 9109010 9356034 13663515 15593390 17137290 23390085 27327030 33703337 46780170 57695543 67406674 92001001 101110011 115391086 168516685 173086629 184002002 202220022 276003003 288477715 337033370 346173258 460005005 505550055 552006006 576955430 865433145 920010010 1011100110 1380015015 1730866290 2760030030 3404037037 6808074074 10212111111 17020185185 20424222222 34040370370 51060555555 102121111110