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101200111111220 = 225112693764322349
BaseRepresentation
bin10111000000101001111100…
…101011001000110000110100
3111021022122011202002200012112
4113000221330223020300310
5101231030311421024340
6555122404512510152
730213316044235562
oct2700517453106064
9437278152080175
10101200111111220
112a2777a9493820
12b42531454b358
13446118b764a24
141adc17bdc0a32
15ba76a9107065
hex5c0a7cac8c34

101200111111220 has 96 divisors (see below), whose sum is σ = 231967068278400. Its totient is φ = 36779916469760.

The previous prime is 101200111111213. The next prime is 101200111111223. The reversal of 101200111111220 is 22111111002101.

It is a junction number, because it is equal to n+sod(n) for n = 101200111111195 and 101200111111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200111111223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528160606 + ... + 4528182954.

It is an arithmetic number, because the mean of its divisors is an integer number (2416323627900).

Almost surely, 2101200111111220 is an apocalyptic number.

101200111111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200111111220 is an abundant number, since it is smaller than the sum of its proper divisors (130766957167180).

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

101200111111220 is a wasteful number, since it uses less digits than its factorization.

101200111111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32705 (or 32703 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101200111111220 its reverse (22111111002101), we get a palindrome (123311222113321).

The spelling of 101200111111220 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2693 5386 7643 10772 13465 15286 22349 26930 29623 30572 38215 44698 53860 59246 76430 84073 89396 111745 118492 148115 152860 168146 223490 245839 296230 336292 420365 446980 491678 592460 840730 983356 1229195 1681460 2458390 4916780 20582599 41165198 60185857 82330396 102912995 120371714 170813407 205825990 226408589 240743428 300929285 341626814 411651980 452817178 601858570 662044427 683253628 854067035 905634356 1132042945 1203717140 1324088854 1708134070 1878947477 2264085890 2648177708 3310222135 3416268140 3757894954 4528171780 6620444270 7515789908 9394737385 13240888540 18789474770 37578949540 460000505051 920001010102 1840002020204 2300002525255 4600005050510 5060005555561 9200010101020 10120011111122 20240022222244 25300027777805 50600055555610 101200111111220