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102010101210010 = 25767281317244177
BaseRepresentation
bin10111001100011100010011…
…110110001001101110011010
3111101012001220100101000102001
4113030130103312021232122
5101332313141402210020
61000542443223431214
730325662255414220
oct2714342366115632
9441161810330361
10102010101210010
112a55a27180a604
12b5362a85b550a
1344bc685342c56
141b2945b04cb10
15bbd7b449d50a
hex5cc713d89b9a

102010101210010 has 128 divisors (see below), whose sum is σ = 214414506763776. Its totient is φ = 34221832888320.

The previous prime is 102010101210007. The next prime is 102010101210011. The reversal of 102010101210010 is 10012101010201.

It is a super-2 number, since 2×1020101012100102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102010101210011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417649042 + ... + 417893218.

It is an arithmetic number, because the mean of its divisors is an integer number (1675113334092).

Almost surely, 2102010101210010 is an apocalyptic number.

102010101210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010101210010 is an abundant number, since it is smaller than the sum of its proper divisors (112404405553766).

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

102010101210010 is a wasteful number, since it uses less digits than its factorization.

102010101210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244856.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102010101210010 its reverse (10012101010201), we get a palindrome (112022202220211).

The spelling of 102010101210010 in words is "one hundred two trillion, ten billion, one hundred one million, two hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 67 70 134 281 317 335 469 562 634 670 938 1405 1585 1967 2219 2345 2810 3170 3934 4438 4690 9835 11095 18827 19670 21239 22190 37654 42478 89077 94135 106195 131789 148673 178154 188270 212390 244177 263578 297346 445385 488354 623539 658945 743365 890770 1220885 1247078 1317890 1486730 1709239 2441770 3117695 3418478 5968159 6235390 8546195 11936318 16359859 17092390 29840795 32719718 41777113 59681590 68613737 77404109 81799295 83554226 114519013 137227474 154808218 163598590 208885565 229038026 343068685 387020545 417771130 480296159 541828763 572595065 686137370 774041090 960592318 1083657526 1145190130 2401480795 2709143815 4597120379 4802961590 5186075303 5418287630 9194240758 10372150606 21750554629 22985601895 25930376515 32179842653 36302527121 43501109258 45971203790 51860753030 64359685306 72605054242 108752773145 152253882403 160899213265 181512635605 217505546290 304507764806 321798426530 363025271210 761269412015 1457287160143 1522538824030 2914574320286 7286435800715 10201010121001 14572871601430 20402020242002 51005050605005 102010101210010