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12100011020111 = 7192313151300779
BaseRepresentation
bin1011000000010100000011…
…0110111100111101001111
31120211202020120110022210102
42300011000312330331033
53041221310310120421
641422400205201315
72356124360446430
oct260050066747517
946752216408712
1012100011020111
113945649857533
12143509126023b
1369a04558a2b1
142db9022ab487
1515eb380d560b
hexb0140dbcf4f

12100011020111 has 32 divisors (see below), whose sum is σ = 15190496870400. Its totient is φ = 9397628143200.

The previous prime is 12100011020093. The next prime is 12100011020129. The reversal of 12100011020111 is 11102011000121.

12100011020111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12100011020093) and next prime (12100011020129).

It is a cyclic number.

It is not a de Polignac number, because 12100011020111 - 26 = 12100011020047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100011020092 and 12100011020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100011020011) 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, 40078520 + ... + 40379298.

It is an arithmetic number, because the mean of its divisors is an integer number (474703027200).

Almost surely, 212100011020111 is an apocalyptic number.

12100011020111 is a deficient number, since it is larger than the sum of its proper divisors (3090485850289).

12100011020111 is a wasteful number, since it uses less digits than its factorization.

12100011020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313979.

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

Adding to 12100011020111 its reverse (11102011000121), we get a palindrome (23202022020232).

The spelling of 12100011020111 in words is "twelve trillion, one hundred billion, eleven million, twenty thousand, one hundred eleven".

Divisors: 1 7 19 23 133 161 437 3059 13151 92057 249869 300779 302473 1749083 2105453 2117311 5714801 5746987 6917917 40003607 40228909 48425419 131440423 920082961 3955544629 27688812403 75155347951 90977526467 526087435657 636842685269 1728573002873 12100011020111