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101012122020212 = 2213191913259320611
BaseRepresentation
bin10110111101111010110111…
…101001101010100101110100
3111020122122221110110101101022
4112331322313221222211310
5101214440311214121322
6554500154522120312
730163612356312134
oct2675726751524564
9436578843411338
10101012122020212
112a205000555297
12b3b49ab350098
13444952c9298c0
141ad302715aac4
15ba285535a942
hex5bdeb7a6a974

101012122020212 has 96 divisors (see below), whose sum is σ = 200580223240320. Its totient is φ = 44124990382080.

The previous prime is 101012122020197. The next prime is 101012122020233. The reversal of 101012122020212 is 212020221210101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4900873787 + ... + 4900894397.

It is an arithmetic number, because the mean of its divisors is an integer number (2089377325420).

Almost surely, 2101012122020212 is an apocalyptic number.

It is an amenable number.

101012122020212 is a deficient number, since it is larger than the sum of its proper divisors (99568101220108).

101012122020212 is a wasteful number, since it uses less digits than its factorization.

101012122020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25153 (or 25151 counting only the distinct ones).

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

Adding to 101012122020212 its reverse (212020221210101), we get a palindrome (313032343230313).

The spelling of 101012122020212 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 13 19 26 38 52 76 247 494 988 1913 2593 3826 5186 7652 10372 20611 24869 33709 36347 41222 49267 49738 67418 72694 82444 98534 99476 134836 145388 197068 267943 391609 472511 535886 640471 783218 945022 1071772 1280942 1566436 1890044 2561884 4960409 5090917 9920818 10181834 19841636 20363668 39428843 53444323 64485317 78857686 94247771 106888646 128970634 157715372 188495542 213777292 257941268 376991084 512574959 694776199 749148017 1015442137 1025149918 1225221023 1389552398 1498296034 2030884274 2050299836 2450442046 2779104796 2996592068 4061768548 4900884092 9738924221 13200747781 19477848442 26401495562 38955696884 52802991124 102238989899 204477979798 408955959596 1329106868687 1942540808081 2658213737374 3885081616162 5316427474748 7770163232324 25253030505053 50506061010106 101012122020212