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100101222222102 = 232432332887192263
BaseRepresentation
bin10110110000101010100001…
…110010101100100100010110
3111010102120202021210012001200
4112300222201302230210112
5101110024300342101402
6552521511110133330
730041034413631423
oct2660524162544426
9433376667705050
10100101222222102
1129993765346892
12b288354951246
1343b1673c2a81a
141aa0cd4308d4a
15b88ce0e8421c
hex5b0aa1cac916

100101222222102 has 96 divisors (see below), whose sum is σ = 222960691819008. Its totient is φ = 32439810469248.

The previous prime is 100101222222101. The next prime is 100101222222107. The reversal of 100101222222102 is 201222222101001.

It is a happy number.

100101222222102 is a `hidden beast` number, since 100 + 10 + 122 + 222 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101222222101) 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, 520551223 + ... + 520743485.

It is an arithmetic number, because the mean of its divisors is an integer number (2322507206448).

Almost surely, 2100101222222102 is an apocalyptic number.

100101222222102 is an abundant number, since it is smaller than the sum of its proper divisors (122859469596906).

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

100101222222102 is a wasteful number, since it uses less digits than its factorization.

100101222222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195434 (or 195431 counting only the distinct ones).

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

Adding to 100101222222102 its reverse (201222222101001), we get a palindrome (301323444323103).

The spelling of 100101222222102 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 43 86 129 233 258 387 466 699 774 1398 2097 2887 4194 5774 8661 10019 17322 20038 25983 30057 51966 60114 90171 124141 180342 192263 248282 372423 384526 576789 672671 744846 1117269 1153578 1345342 1730367 2018013 2234538 3460734 4036026 6054039 8267309 12108078 16534618 24801927 28924853 44797279 49603854 57849706 74405781 86774559 89594558 134391837 148811562 173549118 260323677 268783674 403175511 520647354 555063281 806351022 1110126562 1665189843 1926282997 3330379686 3852565994 4995569529 5778848991 9991139058 11557697982 17336546973 23867721083 34673093946 47735442166 71603163249 129329744473 143206326498 214809489747 258659488946 387989233419 429618979494 775978466838 1163967700257 2327935400514 5561179012339 11122358024678 16683537037017 33367074074034 50050611111051 100101222222102