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101110020201021 = 3132373101137111593
BaseRepresentation
bin10110111111010110000010…
…110101100101101000111101
3111021000000122011011020201210
4112333112002311211220331
5101223041310132413041
6555013145123555033
730203646362155656
oct2677260265455075
9437000564136653
10101110020201021
112a24257851a537
12b40b97122ba79
134455831b62440
141ad7a72dba52d
15ba5184cbe016
hex5bf582d65a3d

101110020201021 has 128 divisors (see below), whose sum is σ = 156225200753664. Its totient is φ = 57695028019200.

The previous prime is 101110020201011. The next prime is 101110020201059. The reversal of 101110020201021 is 120102020011101.

It is not a de Polignac number, because 101110020201021 - 29 = 101110020200509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101110020200988 and 101110020201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110020201011) 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, 906004801 + ... + 906116393.

It is an arithmetic number, because the mean of its divisors is an integer number (1220509380888).

Almost surely, 2101110020201021 is an apocalyptic number.

It is an amenable number.

101110020201021 is a deficient number, since it is larger than the sum of its proper divisors (55115180552643).

101110020201021 is a wasteful number, since it uses less digits than its factorization.

101110020201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111943.

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

Adding to 101110020201021 its reverse (120102020011101), we get a palindrome (221212040212122).

The spelling of 101110020201021 in words is "one hundred one trillion, one hundred ten billion, twenty million, two hundred one thousand, twenty-one".

Divisors: 1 3 13 23 39 69 73 101 137 219 299 303 411 897 949 1313 1679 1781 2323 2847 3151 3939 5037 5343 6969 7373 9453 10001 13837 21827 22119 30003 30199 40963 41511 65481 90597 95849 111593 122889 130013 169579 179881 230023 287547 318251 334779 390039 508737 539643 690069 954753 1010101 1450709 2204527 2566639 2990299 3030303 4137263 4352127 6613581 7699917 8146289 8970897 11270893 12411789 13131313 15288241 23232323 24438867 33366307 33812679 39393939 45864723 69696969 100098921 105901757 146521609 187364647 198747133 259230539 302020199 317705271 351629543 439564827 562093941 596241399 777691617 822775189 906060597 1054888629 1116041593 1544112341 2435740411 2468325567 3348124779 3369997007 4571184059 4632337023 7307221233 10109991021 10696077457 13713552177 14508540709 18923829347 20073460433 25668956639 32088232371 35514583843 43525622127 56771488041 60220381299 77006869917 106543751529 112720200893 246009781511 333696436307 338160602679 461689589959 738029344533 1001089308921 1385068769877 1465362611609 2592564620539 4396087834827 7777693861617 33703340067007 101110020201021