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101212000102010 = 25721970131550167
BaseRepresentation
bin10111000000110101000001…
…010100000010011001111010
3111021100202212022022222112202
4113000311001110002121322
5101231224134011231020
6555132052335110202
730214216500055400
oct2700650124023172
9437322768288482
10101212000102010
112a28184a514546
12b427692072362
1344623348cca15
141adc988d83470
15ba7b52c4ae75
hex5c0d4150267a

101212000102010 has 96 divisors (see below), whose sum is σ = 223111463783040. Its totient is φ = 32870166311808.

The previous prime is 101212000102009. The next prime is 101212000102033. The reversal of 101212000102010 is 10201000212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212000101982 and 101212000102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64515947 + ... + 66066113.

It is an arithmetic number, because the mean of its divisors is an integer number (2324077747740).

Almost surely, 2101212000102010 is an apocalyptic number.

101212000102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101212000102010 is an abundant number, since it is smaller than the sum of its proper divisors (121899463681030).

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

101212000102010 is a wasteful number, since it uses less digits than its factorization.

101212000102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557220 (or 1557213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101212000102010 its reverse (10201000212101), we get a palindrome (111413000314111).

The spelling of 101212000102010 in words is "one hundred one trillion, two hundred twelve billion, one hundred two thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 490 665 931 1330 1862 4655 7013 9310 14026 35065 49091 70130 98182 133247 245455 266494 343637 490910 666235 687274 932729 1332470 1550167 1718185 1865458 3100334 3436370 4663645 6529103 7750835 9327290 10851169 13058206 15501670 21702338 29453173 32645515 54255845 58906346 65291030 75958183 108511690 147265865 151916366 206172211 294531730 379790915 412344422 759581830 1030861055 1443205477 2061722110 2886410954 7216027385 10871321171 14432054770 21742642342 54356605855 76099248197 108713211710 152198496394 206555102249 380496240985 413110204498 532694737379 760992481970 1032775511245 1065389474758 1445885715743 2065551022490 2663473686895 2891771431486 5326947373790 7229428578715 10121200010201 14458857157430 20242400020402 50606000051005 101212000102010