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100220012010120 = 23354331319282127
BaseRepresentation
bin10110110010011001001010…
…001101110001101010001000
3111010211221100221201122211010
4112302121022031301222020
5101114001041033310440
6553052234331403520
730052441216314132
oct2662311215615210
9433757327648733
10100220012010120
1129a2a08305a812
12b2a73872b35a0
1343bc925486512
141aa6962a24052
15b8be44a83580
hex5b264a371a88

100220012010120 has 64 divisors (see below), whose sum is σ = 300666993189120. Its totient is φ = 26724718121984.

The previous prime is 100220012010119. The next prime is 100220012010143. The reversal of 100220012010120 is 21010210022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100220012010096 and 100220012010105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4443504 + ... + 14838623.

It is an arithmetic number, because the mean of its divisors is an integer number (4697921768580).

Almost surely, 2100220012010120 is an apocalyptic number.

100220012010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220012010120 is an abundant number, since it is smaller than the sum of its proper divisors (200446981179000).

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

100220012010120 is a wasteful number, since it uses less digits than its factorization.

100220012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325454 (or 19325450 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100220012010120 its reverse (21010210022001), we get a palindrome (121230222032121).

The spelling of 100220012010120 in words is "one hundred trillion, two hundred twenty billion, twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 43313 86626 129939 173252 216565 259878 346504 433130 519756 649695 866260 1039512 1299390 1732520 2598780 5197560 19282127 38564254 57846381 77128508 96410635 115692762 154257016 192821270 231385524 289231905 385642540 462771048 578463810 771285080 1156927620 2313855240 835166766751 1670333533502 2505500300253 3340667067004 4175833833755 5011000600506 6681334134008 8351667667510 10022001201012 12527501501265 16703335335020 20044002402024 25055003002530 33406670670040 50110006005060 100220012010120