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12110012101 = 11171492231949
BaseRepresentation
bin10110100011101000…
…00001111011000101
31011020222010100120201
423101310001323011
5144300130341401
65321355330501
7606045255505
oct132164017305
934228110521
1012110012101
115154871370
12241b750a31
1311acba2545
1482c497a05
154ad251b01
hex2d1d01ec5

12110012101 has 32 divisors (see below), whose sum is σ = 14152320000. Its totient is φ = 10240558080.

The previous prime is 12110012063. The next prime is 12110012107. The reversal of 12110012101 is 10121001121.

It is a cyclic number.

It is not a de Polignac number, because 12110012101 - 219 = 12109487813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110012107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6212475 + ... + 6214423.

It is an arithmetic number, because the mean of its divisors is an integer number (442260000).

Almost surely, 212110012101 is an apocalyptic number.

12110012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110012101 is a deficient number, since it is larger than the sum of its proper divisors (2042307899).

12110012101 is a wasteful number, since it uses less digits than its factorization.

12110012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110012101 its reverse (10121001121), we get a palindrome (22231013222).

The spelling of 12110012101 in words is "twelve billion, one hundred ten million, twelve thousand, one hundred one".

Divisors: 1 11 17 149 187 223 1639 1949 2453 2533 3791 21439 27863 33133 33227 41701 290401 364463 365497 434627 564859 3194411 4780897 4936817 6213449 7388659 54304987 64759423 81275249 712353653 1100910191 12110012101