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12100100012221 = 1313012017354701
BaseRepresentation
bin1011000000010100011000…
…1010011011100010111101
31120211202110202220121000111
42300011012022123202331
53041222001100342341
641422413104430021
72356126521043564
oct260050612334275
946752422817014
1012100100012221
11394569500a631
1214350b7018311
1369a05ab48550
142db910034bdb
1515eb40d13681
hexb014629b8bd

12100100012221 has 16 divisors (see below), whose sum is σ = 13047395257008. Its totient is φ = 11155173120000.

The previous prime is 12100100012177. The next prime is 12100100012239. The reversal of 12100100012221 is 12221000100121.

It can be written as a sum of positive squares in 8 ways, for example, as 9778243225 + 12090321768996 = 98885^2 + 3477114^2 .

It is not a de Polignac number, because 12100100012221 - 231 = 12097952528573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100100012281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33936171 + ... + 34290871.

It is an arithmetic number, because the mean of its divisors is an integer number (815462203563).

Almost surely, 212100100012221 is an apocalyptic number.

It is an amenable number.

12100100012221 is a deficient number, since it is larger than the sum of its proper divisors (947295244787).

12100100012221 is a wasteful number, since it uses less digits than its factorization.

12100100012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358032.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100100012221 its reverse (12221000100121), we get a palindrome (24321100112342).

The spelling of 12100100012221 in words is "twelve trillion, one hundred billion, one hundred million, twelve thousand, two hundred twenty-one".

Divisors: 1 13 1301 2017 16913 26221 354701 2624117 4611113 34113521 461466001 715431917 5999058013 9300614921 930776924017 12100100012221