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1022021210100 = 22352111621191057
BaseRepresentation
bin11101101111101010011…
…01100000111111110100
310121201000102012210202010
432313311031200333310
5113221044412210400
62101302101244220
7133560431643522
oct16676515407764
93551012183663
101022021210100
11364489368a90
121460a8a03670
13754b7635987
1437674d49312
151b8b9b84450
hexedf5360ff4

1022021210100 has 144 divisors (see below), whose sum is σ = 3227877527616. Its totient is φ = 247608576000.

The previous prime is 1022021210099. The next prime is 1022021210129. The reversal of 1022021210100 is 10121202201.

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

It is a congruent number.

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, 5253772 + ... + 5444828.

It is an arithmetic number, because the mean of its divisors is an integer number (22415816164).

Almost surely, 21022021210100 is an apocalyptic number.

1022021210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613938763808).

1022021210100 is an abundant number, since it is smaller than the sum of its proper divisors (2205856317516).

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

1022021210100 is a wasteful number, since it uses less digits than its factorization.

1022021210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192706 (or 192699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022021210100 its reverse (10121202201), we get a palindrome (1032142412301).

The spelling of 1022021210100 in words is "one trillion, twenty-two billion, twenty-one million, two hundred ten 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 1621 1650 3242 3300 4863 6484 8105 9726 16210 17831 19452 24315 32420 35662 40525 48630 53493 71324 81050 89155 97260 106986 121575 162100 178310 191057 213972 243150 267465 356620 382114 445775 486300 534930 573171 764228 891550 955285 1069860 1146342 1337325 1783100 1910570 2101627 2292684 2674650 2865855 3821140 4203254 4776425 5349300 5731710 6304881 8406508 9552850 10508135 11463420 12609762 14329275 19105700 21016270 25219524 28658550 31524405 42032540 52540675 57317100 63048810 105081350 126097620 157622025 210162700 309703397 315244050 619406794 630488100 929110191 1238813588 1548516985 1858220382 3097033970 3406737367 3716440764 4645550955 6194067940 6813474734 7742584925 9291101910 10220212101 13626949468 15485169850 17033686835 18582203820 20440424202 23227754775 30970339700 34067373670 40880848404 46455509550 51101060505 68134747340 85168434175 92911019100 102202121010 170336868350 204404242020 255505302525 340673736700 511010605050 1022021210100