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20101210000101 = 37176724673271
BaseRepresentation
bin1001001001000001011010…
…11110110100101011100101
32122011122201212221020000000
410210200231132310223211
510113314234230000401
6110430211323411513
74143156502565316
oct444405536645345
978148655836000
1020101210000101
11644a96a00a11a
1223078ba683b99
13b2a6c76a9569
144d6c91c9260d
1524cd2a434186
hex12482d7b4ae5

20101210000101 has 128 divisors (see below), whose sum is σ = 32420052357120. Its totient is φ = 12415444335360.

The previous prime is 20101210000099. The next prime is 20101210000111. The reversal of 20101210000101 is 10100001210102.

It is a happy number.

It is not a de Polignac number, because 20101210000101 - 21 = 20101210000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101210000111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6145278096 + ... + 6145281366.

It is an arithmetic number, because the mean of its divisors is an integer number (253281659040).

Almost surely, 220101210000101 is an apocalyptic number.

It is an amenable number.

20101210000101 is a deficient number, since it is larger than the sum of its proper divisors (12318842357019).

20101210000101 is an equidigital number, since it uses as much as digits as its factorization.

20101210000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101210000101 its reverse (10100001210102), we get a palindrome (30201211210203).

The spelling of 20101210000101 in words is "twenty trillion, one hundred one billion, two hundred ten million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 67 81 153 201 243 459 603 729 1139 1377 1809 2187 2467 3271 3417 4131 5427 7401 9813 10251 12393 16281 22203 29439 30753 37179 41939 48843 55607 66609 88317 92259 125817 146529 165289 166821 199827 219157 264951 276777 377451 495867 500463 599481 657471 794853 830331 1132353 1487601 1501389 1798443 1972413 2384559 2490993 2809913 3397059 3725669 4462803 4504167 5395329 5917239 7153677 8069557 8429739 10191177 11177007 13388409 13512501 17751717 24208671 25289217 30573531 33531021 40165227 40537503 53255151 72626013 75867651 91720593 100593063 120495681 121612509 137182469 159765453 217878039 227602953 301779189 361487043 411547407 479296359 540660319 653634117 682808859 905337567 1234642221 1621980957 1960902351 2048426577 2716012701 3703926663 4865942871 5882707053 6145279731 8148038103 9191225423 11111779989 14597828613 17648121159 27573676269 33335339967 43793485839 82721028807 100006019901 131380457517 248163086421 300018059703 394141372551 744489259263 1182424117653 2233467777789 6700403333367 20101210000101