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100101222112112 = 24132952859313949
BaseRepresentation
bin10110110000101010100001…
…110010010001101101110000
3111010102120202021120121011222
4112300222201302101231300
5101110024300330041422
6552521511103524212
730041034412662644
oct2660524162215560
9433376667517158
10100101222112112
1129993765281191
12b2883548b9668
1343b1673bbc740
141aa0cd42bac24
15b88ce0e61842
hex5b0aa1c91b70

100101222112112 has 80 divisors (see below), whose sum is σ = 216072068940000. Its totient is φ = 44606455176192.

The previous prime is 100101222112109. The next prime is 100101222112217. The reversal of 100101222112112 is 211211222101001.

It is a congruent number.

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, 318688514 + ... + 319002462.

It is an arithmetic number, because the mean of its divisors is an integer number (2700900861750).

Almost surely, 2100101222112112 is an apocalyptic number.

It is an amenable number.

100101222112112 is an abundant number, since it is smaller than the sum of its proper divisors (115970846827888).

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

100101222112112 is a wasteful number, since it uses less digits than its factorization.

100101222112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366858 (or 366852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100101222112112 its reverse (211211222101001), we get a palindrome (311312444213113).

The spelling of 100101222112112 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 52859 105718 211436 313949 422872 627898 687167 845744 1255796 1374334 1532911 2511592 2748668 3065822 4081337 5023184 5497336 6131644 8162674 9104521 10994672 12263288 16325348 18209042 19927843 24526576 32650696 36418084 39855686 65301392 72836168 79711372 118358773 145672336 159422744 236717546 318845488 473435092 946870184 1893740368 16595030191 33190060382 66380120764 132760241528 215735392483 265520483056 431470784966 481255875539 862941569932 962511751078 1725883139864 1925023502156 3451766279728 3850047004312 6256326382007 7700094008624 12512652764014 25025305528028 50050611056056 100101222112112