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11100100101121 is a prime number
BaseRepresentation
bin1010000110000111000110…
…0001100000010000000001
31110022011022001122200111001
42201201301201200100001
52423331001111213441
635335152100052001
72223645554044663
oct241416141402001
943264261580431
1011100100101121
11359a587145509
1212b3335094001
136269728b1315
142a5367a12533
15143b145b8731
hexa1871860401

11100100101121 has 2 divisors, whose sum is σ = 11100100101122. Its totient is φ = 11100100101120.

The previous prime is 11100100101061. The next prime is 11100100101133. The reversal of 11100100101121 is 12110100100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10081133006400 + 1018967094721 = 3175080^2 + 1009439^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100100101121 - 27 = 11100100100993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11100100101098 and 11100100101107.

It is not a weakly prime, because it can be changed into another prime (11100100101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550050050560 + 5550050050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5550050050561).

Almost surely, 211100100101121 is an apocalyptic number.

It is an amenable number.

11100100101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100100101121 is an equidigital number, since it uses as much as digits as its factorization.

11100100101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11100100101121 its reverse (12110100100111), we get a palindrome (23210200201232).

The spelling of 11100100101121 in words is "eleven trillion, one hundred billion, one hundred million, one hundred one thousand, one hundred twenty-one".