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12002110101102 = 23114211578727361
BaseRepresentation
bin1010111010100111010110…
…0000100101011001101110
31120111101112200121100100010
42232221311200211121232
53033120310141213402
641305405424514050
72346060322406532
oct256516540453156
946441480540303
1012002110101102
113908080292010
12141a10a47b926
13690a42906314
142d6c95d37bc2
1515c3082d0a6c
hexaea7582566e

12002110101102 has 64 divisors (see below), whose sum is σ = 26251244644608. Its totient is φ = 3628001664000.

The previous prime is 12002110101097. The next prime is 12002110101131. The reversal of 12002110101102 is 20110101120021.

It is a super-2 number, since 2×120021101011022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438643902 + ... + 438671262.

It is an arithmetic number, because the mean of its divisors is an integer number (410175697572).

Almost surely, 212002110101102 is an apocalyptic number.

12002110101102 is an abundant number, since it is smaller than the sum of its proper divisors (14249134543506).

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

12002110101102 is a wasteful number, since it uses less digits than its factorization.

12002110101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43585.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002110101102 its reverse (20110101120021), we get a palindrome (32112211221123).

The spelling of 12002110101102 in words is "twelve trillion, two billion, one hundred ten million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 421 842 1263 2526 4631 9262 13893 15787 27361 27786 31574 47361 54722 82083 94722 164166 173657 300971 347314 520971 601942 902913 1041942 1805826 6646327 11518981 13292654 19938981 23037962 34556943 39877962 69113886 73109597 126708791 146219194 219328791 253417582 380126373 431948107 438657582 760252746 863896214 1295844321 2591688642 4751429177 9502858354 14254287531 28508575062 181850153047 363700306094 545550459141 1091100918282 2000351683517 4000703367034 6001055050551 12002110101102