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1102022102100 = 2235261261723011
BaseRepresentation
bin10000000010010101101…
…000101100110001010100
310220100111211000012100010
4100002111220230301110
5121023420124231400
62202132330120220
7142422064211643
oct20022550546124
93810454005303
101102022102100
11395401824257
121596b4b80070
137cbc69c07aa
143b4a3c7735a
151d9ed27c450
hex10095a2cc54

1102022102100 has 144 divisors (see below), whose sum is σ = 3242167307456. Its totient is φ = 288931968000.

The previous prime is 1102022102063. The next prime is 1102022102107. The reversal of 1102022102100 is 12012202011.

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 (1102022102107) 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, 47879595 + ... + 47902605.

Almost surely, 21102022102100 is an apocalyptic number.

1102022102100 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 1102022102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621083653728).

1102022102100 is an abundant number, since it is smaller than the sum of its proper divisors (2140145205356).

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

1102022102100 is a wasteful number, since it uses less digits than its factorization.

1102022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25706 (or 25699 counting only the distinct ones).

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

Adding to 1102022102100 its reverse (12012202011), we get a palindrome (1114034304111).

The spelling of 1102022102100 in words is "one trillion, one hundred two billion, twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 2617 3050 3660 4575 5234 6100 7851 9150 10468 13085 15702 18300 23011 26170 31404 39255 46022 52340 65425 69033 78510 92044 115055 130850 138066 157020 159637 196275 230110 261700 276132 319274 345165 392550 460220 478911 575275 638548 690330 785100 798185 957822 1150550 1380660 1403671 1596370 1725825 1915644 2301100 2394555 2807342 3192740 3451650 3990925 4211013 4789110 5614684 6903300 7018355 7981850 8422026 9578220 11972775 14036710 15963700 16844052 21055065 23945550 28073420 35091775 42110130 47891100 60219787 70183550 84220260 105275325 120439574 140367100 180659361 210550650 240879148 301098935 361318722 421101300 602197870 722637444 903296805 1204395740 1505494675 1806593610 3010989350 3613187220 3673407007 4516484025 6021978700 7346814014 9032968050 11020221021 14693628028 18065936100 18367035035 22040442042 36734070070 44080884084 55101105105 73468140140 91835175175 110202210210 183670350350 220404420420 275505525525 367340700700 551011051050 1102022102100