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10020101111202 = 23713374271116131
BaseRepresentation
bin1001000111001111110010…
…0100010011110110100010
31022110220122002000111120110
42101303330210103312202
52303132131341024302
633151100525352150
72052633306102120
oct221637444236642
938426562014513
1010020101111202
113213556943416
121159b67708656
13578b78775670
14268d92a14910
151259a49d2b6c
hex91cfc913da2

10020101111202 has 128 divisors (see below), whose sum is σ = 25337631449088. Its totient is φ = 2570616518400.

The previous prime is 10020101111093. The next prime is 10020101111203. The reversal of 10020101111202 is 20211110102001.

10020101111202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10020101111203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86224677 + ... + 86340807.

It is an arithmetic number, because the mean of its divisors is an integer number (197950245696).

Almost surely, 210020101111202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020101111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668815724544).

10020101111202 is an abundant number, since it is smaller than the sum of its proper divisors (15317530337886).

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

10020101111202 is a wasteful number, since it uses less digits than its factorization.

10020101111202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120464.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10020101111202 its reverse (20211110102001), we get a palindrome (30231211213203).

The spelling of 10020101111202 in words is "ten trillion, twenty billion, one hundred one million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 4271 6734 8542 10101 12813 20202 25626 29897 55523 59794 89691 111046 116131 158027 166569 179382 232262 316054 333138 348393 388661 474081 696786 777322 812917 948162 1106189 1165983 1509703 1625834 2054351 2212378 2331966 2438751 3019406 3318567 4108702 4296847 4529109 4877502 6163053 6637134 8593694 9058218 10567921 12326106 12890541 14380457 21135842 25781082 28760914 30077929 31703763 43141371 55859011 60155858 63407526 86282742 90233787 111718022 167577033 180467574 335154066 391013077 495995501 782026154 991991002 1173039231 1487986503 2346078462 2975973006 3471968507 6447941513 6943937014 10415905521 12895883026 18351833537 19343824539 20831811042 36703667074 38687649078 45135590591 55055500611 90271181182 110111001222 128462834759 135406771773 238573835981 256925669518 270813543546 385388504277 477147671962 715721507943 770777008554 1431443015886 1670016851867 3340033703734 5010050555601 10020101111202