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1221110100100 = 2252111124398737
BaseRepresentation
bin10001110001001111110…
…101010111000010000100
311022201220021002022021201
4101301033311113002010
5130001313141200400
62332545323152244
7154136150410252
oct21611765270204
94281807068251
101221110100100
114309628a9810
121787ab375684
138b1c4c6b5b7
144316001b5d2
1521b6d13506a
hex11c4fd57084

1221110100100 has 72 divisors (see below), whose sum is σ = 2890987027488. Its totient is φ = 443996044800.

The previous prime is 1221110100097. The next prime is 1221110100101. The reversal of 1221110100100 is 10010111221.

It is a super-2 number, since 2×12211101001002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1221110100101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12317932 + ... + 12416668.

It is an arithmetic number, because the mean of its divisors is an integer number (40152597604).

Almost surely, 21221110100100 is an apocalyptic number.

1221110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221110100100 is an abundant number, since it is smaller than the sum of its proper divisors (1669876927388).

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

1221110100100 is a wasteful number, since it uses less digits than its factorization.

1221110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110005 (or 109998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1221110100100 its reverse (10010111221), we get a palindrome (1231120211321).

The spelling of 1221110100100 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11243 22486 44972 56215 98737 112430 123673 197474 224860 247346 281075 394948 493685 494692 562150 618365 987370 1086107 1124300 1236730 1974740 2172214 2468425 2473460 3091825 4344428 4936850 5430535 6183650 9873700 10861070 12367300 21722140 27152675 54305350 108610700 1110100091 2220200182 4440400364 5550500455 11101000910 12211101001 22202001820 24422202002 27752502275 48844404004 55505004550 61055505005 111010009100 122111010010 244222020020 305277525025 610555050050 1221110100100