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21012111202100 = 22521714898300917
BaseRepresentation
bin1001100011100010000110…
…11011001001011100110100
32202101201221011020202002112
410301301003123021130310
510223230300431431400
6112404455225430152
74266034463214014
oct461610333113464
982351834222075
1021012111202100
116771205a97367
12243435563b358
13b9558377a645
14528dc4d8bc44
1526688e9d6835
hex131c436c9734

21012111202100 has 72 divisors (see below), whose sum is σ = 48310844704920. Its totient is φ = 7905128325120.

The previous prime is 21012111202067. The next prime is 21012111202123. The reversal of 21012111202100 is 120211121012.

It can be written as a sum of positive squares in 12 ways, for example, as 2173837667236 + 18838273534864 = 1474394^2 + 4340308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619159 + ... + 6681758.

It is an arithmetic number, because the mean of its divisors is an integer number (670983954235).

Almost surely, 221012111202100 is an apocalyptic number.

21012111202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012111202100 is an abundant number, since it is smaller than the sum of its proper divisors (27298733502820).

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

21012111202100 is a wasteful number, since it uses less digits than its factorization.

21012111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302437 (or 8302430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21012111202100 its reverse (120211121012), we get a palindrome (21132322323112).

The spelling of 21012111202100 in words is "twenty-one trillion, twelve billion, one hundred eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1489 1700 2978 5956 7445 14890 25313 29780 37225 50626 74450 101252 126565 148900 253130 506260 632825 1265650 2531300 8300917 16601834 33203668 41504585 83009170 141115589 166018340 207522925 282231178 415045850 564462356 705577945 830091700 1411155890 2822311780 3527889725 7055779450 12360065413 14111558900 24720130826 49440261652 61800327065 123600654130 210121112021 247201308260 309001635325 420242224042 618003270650 840484448084 1050605560105 1236006541300 2101211120210 4202422240420 5253027800525 10506055601050 21012111202100