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10210200120100 = 2252478372134373
BaseRepresentation
bin1001010010010011111101…
…0110011110101100100100
31100011002022101211201121201
42110210333112132230210
52314240442212320400
633414300131052244
72102443164030631
oct224447726365444
940132271751551
1010210200120100
113287137874442
12118a97b441084
13590a82761a06
14274267b87188
1512a8cdb0506a
hex9493f59eb24

10210200120100 has 36 divisors (see below), whose sum is σ = 22156607800404. Its totient is φ = 4083992759680.

The previous prime is 10210200120083. The next prime is 10210200120121. The reversal of 10210200120100 is 102100201201.

It can be written as a sum of positive squares in 6 ways, for example, as 2804606692416 + 7405593427684 = 1674696^2 + 2721322^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 3716514 + ... + 5850886.

It is an arithmetic number, because the mean of its divisors is an integer number (615461327789).

Almost surely, 210210200120100 is an apocalyptic number.

10210200120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210200120100 is an abundant number, since it is smaller than the sum of its proper divisors (11946407680304).

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

10210200120100 is a wasteful number, since it uses less digits than its factorization.

10210200120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182224 (or 2182217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210200120100 its reverse (102100201201), we get a palindrome (10312300321301).

The spelling of 10210200120100 in words is "ten trillion, two hundred ten billion, two hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 47837 95674 191348 239185 478370 956740 1195925 2134373 2391850 4268746 4783700 8537492 10671865 21343730 42687460 53359325 106718650 213437300 102102001201 204204002402 408408004804 510510006005 1021020012010 2042040024020 2552550030025 5105100060050 10210200120100