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12100012100111 = 1313156325494951
BaseRepresentation
bin1011000000010100000011…
…1011000100101000001111
31120211202020122111012021102
42300011000323010220033
53041221311044200421
641422400244253315
72356124402565215
oct260050073045017
946752218435242
1012100012100111
11394564a4249a1
1214350916a123b
1369a045877a50
142db9024accb5
1515eb3824a60b
hexb0140ec4a0f

12100012100111 has 32 divisors (see below), whose sum is σ = 13161393907200. Its totient is φ = 11057718672000.

The previous prime is 12100012100107. The next prime is 12100012100171. The reversal of 12100012100111 is 11100121000121.

It is not a de Polignac number, because 12100012100111 - 22 = 12100012100107 is a prime.

It is a super-2 number, since 2×121000121001112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100012100092 and 12100012100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100012100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443950686 + ... + 2443955636.

It is an arithmetic number, because the mean of its divisors is an integer number (411293559600).

Almost surely, 212100012100111 is an apocalyptic number.

12100012100111 is a deficient number, since it is larger than the sum of its proper divisors (1061381807089).

12100012100111 is a wasteful number, since it uses less digits than its factorization.

12100012100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12100012100111 its reverse (11100121000121), we get a palindrome (23200133100232).

The spelling of 12100012100111 in words is "twelve trillion, one hundred billion, twelve million, one hundred thousand, one hundred eleven".

Divisors: 1 13 131 563 1703 2549 4951 7319 33137 64363 73753 333919 648581 958789 1435087 2787413 4340947 8431553 12620099 18656131 36236369 164061287 187996397 365151103 1653232969 2443953161 4746964339 7105115737 21492028597 92366504581 930770161547 12100012100111