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10121110101210 = 23523107863158849
BaseRepresentation
bin1001001101001000000100…
…1011000001110011011010
31022211120100120020211220110
42103102001023001303122
52311311013141214320
633305323534505150
72063140354253343
oct223220113016332
938746316224813
1010121110101210
11325237a882659
1211756573651b6
1358555531c1c4
1426dc15a830ca
151284175c75e0
hex934812c1cda

10121110101210 has 128 divisors (see below), whose sum is σ = 25613472153600. Its totient is φ = 2554509664256.

The previous prime is 10121110101209. The next prime is 10121110101227. The reversal of 10121110101210 is 1210101112101.

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, 63635866 + ... + 63794714.

It is an arithmetic number, because the mean of its divisors is an integer number (200105251200).

Almost surely, 210121110101210 is an apocalyptic number.

10121110101210 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 10121110101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806736076800).

10121110101210 is an abundant number, since it is smaller than the sum of its proper divisors (15492362052390).

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

10121110101210 is a wasteful number, since it uses less digits than its factorization.

10121110101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159852.

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

Adding to 10121110101210 its reverse (1210101112101), we get a palindrome (11331211213311).

The spelling of 10121110101210 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 138 214 230 321 345 535 642 690 863 1070 1605 1726 2461 2589 3210 4315 4922 5178 7383 8630 12305 12945 14766 19849 24610 25890 36915 39698 59547 73830 92341 99245 119094 158849 184682 198490 277023 297735 317698 461705 476547 554046 595470 794245 923410 953094 1385115 1588490 2123843 2382735 2770230 3653527 4247686 4765470 6371529 7307054 10619215 10960581 12743058 16996843 18267635 21238430 21921162 31857645 33993686 36535270 50990529 54802905 63715290 84984215 101981058 109605810 137086687 169968430 254952645 274173374 390927389 411260061 509905290 685433435 781854778 822520122 1172782167 1370866870 1954636945 2056300305 2345564334 3152993801 3909273890 4112600610 5863910835 6305987602 9458981403 11727821670 14668275509 15764969005 18917962806 29336551018 31529938010 44004826527 47294907015 73341377545 88009653054 94589814030 146682755090 220024132635 337370336707 440048265270 674740673414 1012111010121 1686851683535 2024222020242 3373703367070 5060555050605 10121110101210