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21212002020100 = 22521259404941611
BaseRepresentation
bin1001101001010110011011…
…10110000110101100000100
32210002211212220002102001011
410310223031312012230010
510240014140004120400
6113040354215412004
74316342120144113
oct464531566065404
983084786072034
1021212002020100
116838a61165501
122467040684004
13bab38b28c888
1453494876bc7a
1526bb8d5908ba
hex134acdd86b04

21212002020100 has 72 divisors (see below), whose sum is σ = 46079089812000. Its totient is φ = 8475763929600.

The previous prime is 21212002020091. The next prime is 21212002020101. The reversal of 21212002020100 is 102020021212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21212002020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509748295 + ... + 509789905.

It is an arithmetic number, because the mean of its divisors is an integer number (639987358500).

Almost surely, 221212002020100 is an apocalyptic number.

21212002020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212002020100 is an abundant number, since it is smaller than the sum of its proper divisors (24867087791900).

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

21212002020100 is a wasteful number, since it uses less digits than its factorization.

21212002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46933 (or 46926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21212002020100 its reverse (102020021212), we get a palindrome (21314022041312).

The spelling of 21212002020100 in words is "twenty-one trillion, two hundred twelve billion, two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1259 2518 4049 5036 6295 8098 12590 16196 20245 25180 31475 40490 41611 62950 80980 83222 101225 125900 166444 202450 208055 404900 416110 832220 1040275 2080550 4161100 5097691 10195382 20390764 25488455 50976910 52388249 101953820 104776498 127442275 168482939 209552996 254884550 261941245 336965878 509769100 523882490 673931756 842414695 1047764980 1309706225 1684829390 2619412450 3369658780 4212073475 5238824900 8424146950 16848293900 212120020201 424240040402 848480080804 1060600101005 2121200202010 4242400404020 5303000505025 10606001010050 21212002020100