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21020121220100 = 22521018120646421
BaseRepresentation
bin1001100011110001000001…
…10110111100010000000100
32202102111121101111211002212
410301320200312330100010
510223343202013020400
6112412302124122552
74266440125230122
oct461704066742004
982374541454085
1021020121220100
116774646487452
122435a10096458
13b9625c0ba572
14529544b02912
15266bacd10335
hex131e20dbc404

21020121220100 has 36 divisors (see below), whose sum is σ = 45618145530468. Its totient is φ = 8407222224000.

The previous prime is 21020121220081. The next prime is 21020121220129. The reversal of 21020121220100 is 102212102012.

It can be written as a sum of positive squares in 6 ways, for example, as 1678491260356 + 19341629959744 = 1295566^2 + 4397912^2 .

It is a super-2 number, since 2×210201212201002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9305111 + ... + 11341310.

Almost surely, 221020121220100 is an apocalyptic number.

21020121220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020121220100 is an abundant number, since it is smaller than the sum of its proper divisors (24598024310368).

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

21020121220100 is a wasteful number, since it uses less digits than its factorization.

21020121220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20656616 (or 20656609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21020121220100 its reverse (102212102012), we get a palindrome (21122333322112).

The spelling of 21020121220100 in words is "twenty-one trillion, twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10181 20362 40724 50905 101810 203620 254525 509050 1018100 20646421 41292842 82585684 103232105 206464210 412928420 516160525 1032321050 2064642100 210201212201 420402424402 840804848804 1051006061005 2102012122010 4204024244020 5255030305025 10510060610050 21020121220100