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101020122201222 = 23273741528508241
BaseRepresentation
bin10110111110000010010100…
…011111111011110010000110
3111020200102121000012200120200
4112332002110133323302012
5101220103202240414342
6554504000425511330
730164314541605050
oct2676022437736206
9436612530180520
10101020122201222
112a208436436734
12b3b6462642546
13444a206204213
141ad35858708d0
15ba2b7288e94c
hex5be0947fbc86

101020122201222 has 96 divisors (see below), whose sum is σ = 263171736120384. Its totient is φ = 27397867161600.

The previous prime is 101020122201179. The next prime is 101020122201227. The reversal of 101020122201222 is 222102221020101.

It is a happy number.

101020122201222 is a `hidden beast` number, since 10 + 10 + 201 + 2 + 220 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101020122201195 and 101020122201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020122201227) 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, 264062979 + ... + 264445262.

It is an arithmetic number, because the mean of its divisors is an integer number (2741372251254).

Almost surely, 2101020122201222 is an apocalyptic number.

101020122201222 is an abundant number, since it is smaller than the sum of its proper divisors (162151613919162).

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

101020122201222 is a wasteful number, since it uses less digits than its factorization.

101020122201222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528508334 (or 528508331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020122201222 its reverse (222102221020101), we get a palindrome (323122343221323).

The spelling of 101020122201222 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 41 42 63 74 82 111 123 126 222 246 259 287 333 369 518 574 666 738 777 861 1517 1554 1722 2331 2583 3034 4551 4662 5166 9102 10619 13653 21238 27306 31857 63714 95571 191142 528508241 1057016482 1585524723 3171049446 3699557687 4756574169 7399115374 9513148338 11098673061 19554804917 21668837881 22197346122 33296019183 39109609834 43337675762 58664414751 65006513643 66592038366 117328829502 130013027286 136883634419 151681865167 175993244253 195019540929 273767268838 303363730334 351986488506 390039081858 410650903257 455045595501 801747001597 821301806514 910091191002 1231952709771 1365136786503 1603494003194 2405241004791 2463905419542 2730273573006 4810482009582 5612229011179 7215723014373 11224458022358 14431446028746 16836687033537 33673374067074 50510061100611 101020122201222