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1221021011100 = 22352111245129717
BaseRepresentation
bin10001110001001010100…
…001100000110010011100
311022201200001110010011010
4101301022201200302130
5130001122334323400
62332532421455220
7154134016230462
oct21611241406234
94281601403133
101221021011100
1143091758a940
12178785571510
138b1ac678207
144315226a832
1521b653d8450
hex11c4a860c9c

1221021011100 has 144 divisors (see below), whose sum is σ = 3854425550976. Its totient is φ = 295971360000.

The previous prime is 1221021011071. The next prime is 1221021011101. The reversal of 1221021011100 is 11101201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221021011101) 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, 41073442 + ... + 41103158.

It is an arithmetic number, because the mean of its divisors is an integer number (26766844104).

Almost surely, 21221021011100 is an apocalyptic number.

1221021011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221021011100 is an abundant number, since it is smaller than the sum of its proper divisors (2633404539876).

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

1221021011100 is a wasteful number, since it uses less digits than its factorization.

1221021011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42196 (or 42189 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221021011100 its reverse (11101201221), we get a palindrome (1232122212321).

The spelling of 1221021011100 in words is "one trillion, two hundred twenty-one billion, twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 12451 24902 29717 37353 49804 59434 62255 74706 89151 118868 124510 136961 148585 149412 178302 186765 249020 273922 297170 311275 326887 356604 373530 410883 445755 547844 594340 622550 653774 684805 742925 747060 821766 891510 933825 980661 1245100 1307548 1369610 1485850 1634435 1643532 1783020 1867650 1961322 2054415 2228775 2739220 2971700 3268870 3424025 3735300 3922644 4108830 4457550 4903305 6537740 6848050 8172175 8217660 8915100 9806610 10272075 13696100 16344350 19613220 20544150 24516525 32688700 41088300 49033050 98066100 370006367 740012734 1110019101 1480025468 1850031835 2220038202 3700063670 4070070037 4440076404 5550095505 7400127340 8140140074 9250159175 11100191010 12210210111 16280280148 18500318350 20350350185 22200382020 24420420222 27750477525 37000636700 40700700370 48840840444 55500955050 61051050555 81401400740 101751750925 111001910100 122102101110 203503501850 244204202220 305255252775 407007003700 610510505550 1221021011100