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102121012110 = 235131289203141
BaseRepresentation
bin101111100011011100…
…0101111101110001110
3100202120222200220212210
41133012320233232032
53133120434341420
6114525211411250
710243440165165
oct1370670575616
9322528626783
10102121012110
113a344715977
1217960153b26
1398260765b0
144d2aa1a3dc
1529ca5529e0
hex17c6e2fb8e

102121012110 has 64 divisors (see below), whose sum is σ = 264149605440. Its totient is φ = 25117854720.

The previous prime is 102121012067. The next prime is 102121012121. The reversal of 102121012110 is 11210121201.

It is a super-2 number, since 2×1021210121102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 401140 + ... + 604280.

It is an arithmetic number, because the mean of its divisors is an integer number (4127337585).

Almost surely, 2102121012110 is an apocalyptic number.

102121012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121012110 is an abundant number, since it is smaller than the sum of its proper divisors (162028593330).

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

102121012110 is a wasteful number, since it uses less digits than its factorization.

102121012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204453.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102121012110 its reverse (11210121201), we get a palindrome (113331133311).

The spelling of 102121012110 in words is "one hundred two billion, one hundred twenty-one million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1289 2578 3867 6445 7734 12890 16757 19335 33514 38670 50271 83785 100542 167570 203141 251355 406282 502710 609423 1015705 1218846 2031410 2640833 3047115 5281666 6094230 7922499 13204165 15844998 26408330 39612495 79224990 261848749 523697498 785546247 1309243745 1571092494 2618487490 3404033737 3927731235 6808067474 7855462470 10212101211 17020168685 20424202422 34040337370 51060506055 102121012110