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102202010121012 = 22353213722996643
BaseRepresentation
bin10111001111001111000010…
…100000100011001100110100
3111101212102020210211210101120
4113033033002200203030310
5101343434204042333022
61001210542201423540
730345565041301404
oct2717170240431464
9441772223753346
10102202010121012
112a6236a134889a
12b56752649abb0
1345047ba2a84a9
141b34864714804
15bc3797432d5c
hex5cf3c2823334

102202010121012 has 144 divisors (see below), whose sum is σ = 245901511611840. Its totient is φ = 33035346699264.

The previous prime is 102202010120953. The next prime is 102202010121017. The reversal of 102202010121012 is 210121010202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202010120982 and 102202010121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202010121017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057472763 + ... + 1057569405.

Almost surely, 2102202010121012 is an apocalyptic number.

102202010121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202010121012 is an abundant number, since it is smaller than the sum of its proper divisors (143699501490828).

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

102202010121012 is a wasteful number, since it uses less digits than its factorization.

102202010121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97122 (or 97067 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202010121012 its reverse (210121010202201), we get a palindrome (312323020323213).

The spelling of 102202010121012 in words is "one hundred two trillion, two hundred two billion, ten million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 137 159 212 229 274 318 411 458 548 636 687 822 916 1374 1644 2748 2809 5618 7261 8427 11236 12137 14522 16854 21783 24274 29044 31373 33708 36411 43566 48548 62746 72822 87132 94119 96643 125492 145644 188238 193286 289929 376476 384833 386572 579858 643261 769666 1154499 1159716 1286522 1539332 1662769 1929783 2308998 2573044 3325538 3859566 4617996 4988307 5122079 6651076 7719132 9976614 10244158 13240091 15366237 19953228 20488316 22131247 26480182 30732474 39720273 44262494 52960364 61464948 66393741 79440546 88126757 88524988 132787482 158881092 176253514 264380271 265574964 271470187 352507028 528760542 542940374 701724823 814410561 1057521084 1085880748 1172956091 1403449646 1628821122 2105174469 2345912182 2806899292 3031980839 3257642244 3518868273 4210348938 4691824364 6063961678 7037736546 8420697876 9095942517 12127923356 14075473092 18191885034 36383770068 37191415619 62166672823 74382831238 111574246857 124333345646 148765662476 160694984467 186500018469 223148493714 248666691292 321389968934 373000036938 446296987428 482084953401 642779937868 746000073876 964169906802 1928339813604 8516834176751 17033668353502 25550502530253 34067336707004 51101005060506 102202010121012