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102121222112 = 2571371493931
BaseRepresentation
bin101111100011011100…
…1100010111111100000
3100202121000002120221122
41133012321202333200
53133121013101422
6114525220111412
710243442031350
oct1370671427740
9322530076848
10102121222112
113a344849728
1217960235568
13982611b060
144d2aa72b60
1529ca594d42
hex17c6e62fe0

102121222112 has 96 divisors (see below), whose sum is σ = 250933261824. Its totient is φ = 39830515200.

The previous prime is 102121222111. The next prime is 102121222117. The reversal of 102121222112 is 211222121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40214 + ... + 453717.

It is an arithmetic number, because the mean of its divisors is an integer number (2613888144).

Almost surely, 2102121222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125466630912).

102121222112 is an abundant number, since it is smaller than the sum of its proper divisors (148812039712).

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

102121222112 is a wasteful number, since it uses less digits than its factorization.

102121222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494032 (or 494024 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102121222112 its reverse (211222121201), we get a palindrome (313343343313).

The spelling of 102121222112 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 71 91 104 112 142 182 208 224 284 364 416 497 568 728 923 994 1136 1456 1846 1988 2272 2912 3692 3976 6461 7384 7952 12922 14768 15904 25844 29536 51688 103376 206752 493931 987862 1975724 3457517 3951448 6421103 6915034 7902896 12842206 13830068 15805792 25684412 27660136 35069101 44947721 51368824 55320272 70138202 89895442 102737648 110640544 140276404 179790884 205475296 245483707 280552808 359581768 455898313 490967414 561105616 719163536 911796626 981934828 1122211232 1438327072 1823593252 1963869656 3191288191 3647186504 3927739312 6382576382 7294373008 7855478624 12765152764 14588746016 25530305528 51060611056 102121222112