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101022120212202 = 23273101162005023
BaseRepresentation
bin10110111110000100001011…
…100101101111011011101010
3111020200121202020211011101100
4112332010023211233123222
5101220121300233242302
6554504531002102230
730164415212454000
oct2676041345573352
9436617666734340
10101022120212202
112a209271244982
12b3b691b7aa976
13444a464133137
141ad36d4d6ca70
15ba2c3ceacd1c
hex5be10b96f6ea

101022120212202 has 96 divisors (see below), whose sum is σ = 257782394188800. Its totient is φ = 28577685880800.

The previous prime is 101022120212179. The next prime is 101022120212257. The reversal of 101022120212202 is 202212021220101.

It is a happy number.

101022120212202 is a `hidden beast` number, since 1 + 0 + 10 + 221 + 20 + 212 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80378938 + ... + 81626085.

It is an arithmetic number, because the mean of its divisors is an integer number (2685233272800).

Almost surely, 2101022120212202 is an apocalyptic number.

101022120212202 is an abundant number, since it is smaller than the sum of its proper divisors (156760273976598).

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

101022120212202 is a wasteful number, since it uses less digits than its factorization.

101022120212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162005153 (or 162005136 counting only the distinct ones).

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

Adding to 101022120212202 its reverse (202212021220101), we get a palindrome (303234141432303).

The spelling of 101022120212202 in words is "one hundred one trillion, twenty-two billion, one hundred twenty million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 343 441 606 686 707 882 909 1029 1414 1818 2058 2121 3087 4242 4949 6174 6363 9898 12726 14847 29694 34643 44541 69286 89082 103929 207858 311787 623574 162005023 324010046 486015069 972030138 1134035161 1458045207 2268070322 2916090414 3402105483 6804210966 7938246127 10206316449 15876492254 16362507323 20412632898 23814738381 32725014646 47629476762 49087521969 55567722889 71444215143 98175043938 111135445778 114537551261 142888430286 147262565907 166703168667 229075102522 294525131814 333406337334 343612653783 500109506001 687225307566 801762858827 1000219012002 1030837961349 1603525717654 2061675922698 2405288576481 4810577152962 5612340011789 7215865729443 11224680023578 14431731458886 16837020035367 33674040070734 50511060106101 101022120212202