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21101212201020 = 223572337414333487
BaseRepresentation
bin1001100110001000000100…
…10000011111000000111100
32202201020220202111110120120
410303010002100133000330
510231210240310413040
6112513432453214540
74305340465212120
oct463040220370074
982636822443516
1021101212201020
1167a5a791a8656
122449681331450
13ba0ab3265b03
1452d43870d580
15268d56e827d0
hex13310241f03c

21101212201020 has 768 divisors, whose sum is σ = 75855187279872. Its totient is φ = 4277292687360.

The previous prime is 21101212200973. The next prime is 21101212201021. The reversal of 21101212201020 is 2010221210112.

It is a super-2 number, since 2×211012122010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101212201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 630114717 + ... + 630148203.

It is an arithmetic number, because the mean of its divisors is an integer number (98769775104).

Almost surely, 221101212201020 is an apocalyptic number.

21101212201020 is a gapful number since it is divisible by the number (20) 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 21101212201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37927593639936).

21101212201020 is an abundant number, since it is smaller than the sum of its proper divisors (54753975078852).

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

21101212201020 is a wasteful number, since it uses less digits than its factorization.

21101212201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33650 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21101212201020 its reverse (2010221210112), we get a palindrome (23111433411132).

The spelling of 21101212201020 in words is "twenty-one trillion, one hundred one billion, two hundred twelve million, two hundred one thousand, twenty".