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21002210102100 = 22352166741996021
BaseRepresentation
bin1001100011001111101010…
…10001011100101101010100
32202100210101010120202021010
410301213311101130231110
510223100011241231400
6112400140534452220
74265234226233163
oct461476521345524
982323333522233
1021002210102100
116767a95092397
122432451804070
13b9466640a0a6
145287260113da
152664b0662450
hex1319f545cb54

21002210102100 has 72 divisors (see below), whose sum is σ = 60802848556128. Its totient is φ = 5597229545600.

The previous prime is 21002210102077. The next prime is 21002210102147. The reversal of 21002210102100 is 120101220012.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20497911 + ... + 21498110.

It is an arithmetic number, because the mean of its divisors is an integer number (844484007724).

Almost surely, 221002210102100 is an apocalyptic number.

21002210102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002210102100 is an abundant number, since it is smaller than the sum of its proper divisors (39800638454028).

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

21002210102100 is a wasteful number, since it uses less digits than its factorization.

21002210102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41997705 (or 41997698 counting only the distinct ones).

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

Adding to 21002210102100 its reverse (120101220012), we get a palindrome (21122311322112).

The spelling of 21002210102100 in words is "twenty-one trillion, two billion, two hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1667 3334 5001 6668 8335 10002 16670 20004 25005 33340 41675 50010 83350 100020 125025 166700 250050 500100 41996021 83992042 125988063 167984084 209980105 251976126 419960210 503952252 629940315 839920420 1049900525 1259880630 2099801050 2519761260 3149701575 4199602100 6299403150 12598806300 70007367007 140014734014 210022101021 280029468028 350036835035 420044202042 700073670070 840088404084 1050110505105 1400147340140 1750184175175 2100221010210 3500368350350 4200442020420 5250552525525 7000736700700 10501105051050 21002210102100