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101222120201220 = 22335215898682587
BaseRepresentation
bin10111000000111110011100…
…100001001001110000000100
3111021101201222121002021211000
4113000332130201021300010
5101231410400232414340
6555140444452013300
730215025333353664
oct2700763441116004
9437351877067730
10101222120201220
112a286072aa88a7
12b429637301230
13446328844a2c5
141add26904a1a4
15ba804642dd30
hex5c0f9c849c04

101222120201220 has 96 divisors (see below), whose sum is σ = 314927885865600. Its totient is φ = 26991311985792.

The previous prime is 101222120201197. The next prime is 101222120201239. The reversal of 101222120201220 is 22102021222101.

It is a happy number.

101222120201220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 221 + 20 + 201 + 220 = 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 = 101222120201193 and 101222120201202.

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 31 ways as a sum of consecutive naturals, for example, 7316767 + ... + 15999353.

It is an arithmetic number, because the mean of its divisors is an integer number (3280498811100).

Almost surely, 2101222120201220 is an apocalyptic number.

101222120201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222120201220 is an abundant number, since it is smaller than the sum of its proper divisors (213705765664380).

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

101222120201220 is a wasteful number, since it uses less digits than its factorization.

101222120201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704194 (or 8704186 counting only the distinct ones).

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

Adding to 101222120201220 its reverse (22102021222101), we get a palindrome (123324141423321).

The spelling of 101222120201220 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 21589 43178 64767 86356 107945 129534 194301 215890 259068 323835 388602 431780 582903 647670 777204 971505 1165806 1295340 1943010 2331612 2914515 3886020 5829030 8682587 11658060 17365174 26047761 34730348 43412935 52095522 78143283 86825870 104191044 130238805 156286566 173651740 234429849 260477610 312573132 390716415 468859698 520955220 781432830 937719396 1172149245 1562865660 2344298490 4688596980 187448370743 374896741486 562345112229 749793482972 937241853715 1124690224458 1687035336687 1874483707430 2249380448916 2811725561145 3374070673374 3748967414860 5061106010061 5623451122290 6748141346748 8435176683435 10122212020122 11246902244580 16870353366870 20244424040244 25305530050305 33740706733740 50611060100610 101222120201220