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101211101112100 = 22527423134173313
BaseRepresentation
bin10111000000110100001011…
…101110101010011100100100
3111021100200112122201120020011
4113000310023232222130210
5101231220313341041400
6555131423222420004
730214155302554510
oct2700641356523444
9437320478646204
10101211101112100
112a281429012081
12b427480b91604
13446222059b025
141adc90180b140
15ba7aedd6d8ba
hex5c0d0bbaa724

101211101112100 has 72 divisors (see below), whose sum is σ = 251062862976128. Its totient is φ = 34692746342400.

The previous prime is 101211101112053. The next prime is 101211101112133. The reversal of 101211101112100 is 1211101112101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14124957 + ... + 20048356.

Almost surely, 2101211101112100 is an apocalyptic number.

101211101112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211101112100 is an abundant number, since it is smaller than the sum of its proper divisors (149851761864028).

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

101211101112100 is a wasteful number, since it uses less digits than its factorization.

101211101112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34177565 (or 34177558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101211101112100 its reverse (1211101112101), we get a palindrome (102422202224201).

Subtracting from 101211101112100 its reverse (1211101112101), we obtain a palindrome (99999999999999).

The spelling of 101211101112100 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 4231 8462 16924 21155 29617 42310 59234 84620 105775 118468 148085 211550 296170 423100 592340 740425 1480850 2961700 34173313 68346626 136693252 170866565 239213191 341733130 478426382 683466260 854332825 956852764 1196065955 1708665650 2392131910 3417331300 4784263820 5980329775 11960659550 23921319100 144587287303 289174574606 578349149212 722936436515 1012111011121 1445872873030 2024222022242 2891745746060 3614682182575 4048444044484 5060555055605 7229364365150 10121110111210 14458728730300 20242220222420 25302775278025 50605550556050 101211101112100