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212101122111010 = 251123101830043917
BaseRepresentation
bin110000001110011110100100…
…000010100011011000100010
31000210222200001212210122112121
4300032132210002203120202
5210300031044230023020
62031033524345214454
762450541350152306
oct6016364402433042
91023880055718477
10212101122111010
1161644642a6a920
121b95675079142a
139147085ab10c2
143a53a6b6b9d06
15197c38499bbaa
hexc0e7a40a3622

212101122111010 has 64 divisors (see below), whose sum is σ = 438900662433024. Its totient is φ = 73043864608000.

The previous prime is 212101122111007. The next prime is 212101122111013. The reversal of 212101122111010 is 10111221101212.

It is an interprime number because it is at equal distance from previous prime (212101122111007) and next prime (212101122111013).

It is not an unprimeable number, because it can be changed into a prime (212101122111013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414766429 + ... + 415277488.

It is an arithmetic number, because the mean of its divisors is an integer number (6857822850516).

Almost surely, 2212101122111010 is an apocalyptic number.

212101122111010 is an abundant number, since it is smaller than the sum of its proper divisors (226799540322014).

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

212101122111010 is a wasteful number, since it uses less digits than its factorization.

212101122111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830044059.

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

Adding to 212101122111010 its reverse (10111221101212), we get a palindrome (222212343212222).

The spelling of 212101122111010 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, ten".

Divisors: 1 2 5 10 11 22 23 46 55 101 110 115 202 230 253 505 506 1010 1111 1265 2222 2323 2530 4646 5555 11110 11615 23230 25553 51106 127765 255530 830043917 1660087834 4150219585 8300439170 9130483087 18260966174 19091010091 38182020182 45652415435 83834435617 91304830870 95455050455 167668871234 190910100910 210001111001 419172178085 420002222002 838344356170 922178791787 1050005555005 1844357583574 1928192019191 2100011110010 3856384038382 4610893958935 9221787917870 9640960095955 19281920191910 21210112211101 42420224422202 106050561055505 212101122111010