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12212100110101 = 109145577696477
BaseRepresentation
bin1011000110110101100111…
…1000111001011100010101
31121020110120020212001212211
42301231121320321130111
53100040340112010401
641550054503313421
72400203140134313
oct261553170713425
947213506761784
1012212100110101
1139891391638a1
12145295374b871
136a7799825208
143030d6adb0b3
151629e87dc951
hexb1b59e39715

12212100110101 has 8 divisors (see below), whose sum is σ = 12324985939640. Its totient is φ = 12099229702848.

The previous prime is 12212100110087. The next prime is 12212100110141. The reversal of 12212100110101 is 10101100121221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61193895876 + 12150906214225 = 247374^2 + 3485815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12212100110101 - 25 = 12212100110069 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 (12212100110141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261526 + ... + 5434951.

It is an arithmetic number, because the mean of its divisors is an integer number (1540623242455).

Almost surely, 212212100110101 is an apocalyptic number.

It is an amenable number.

12212100110101 is a deficient number, since it is larger than the sum of its proper divisors (112885829539).

12212100110101 is a wasteful number, since it uses less digits than its factorization.

12212100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711143.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12212100110101 its reverse (10101100121221), we get a palindrome (22313200231322).

The spelling of 12212100110101 in words is "twelve trillion, two hundred twelve billion, one hundred million, one hundred ten thousand, one hundred one".

Divisors: 1 109 14557 1586713 7696477 838915993 112037615689 12212100110101