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1012101111101 is a prime number
BaseRepresentation
bin11101011101001011110…
…11010101110100111101
310120202102001210120012002
432232211323111310331
5113040240341023401
62052541451152045
7133056544333223
oct16564573256475
93522361716162
101012101111101
11360258767863
1214419a745625
1374596372802
1436db3664b13
151b4d8d0aa6b
hexeba5ed5d3d

1012101111101 has 2 divisors, whose sum is σ = 1012101111102. Its totient is φ = 1012101111100.

The previous prime is 1012101111011. The next prime is 1012101111157. The reversal of 1012101111101 is 1011111012101.

It is a happy number.

Together with previous prime (1012101111011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 558754755001 + 453346356100 = 747499^2 + 673310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012101111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012101111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050555550 + 506050555551.

It is an arithmetic number, because the mean of its divisors is an integer number (506050555551).

Almost surely, 21012101111101 is an apocalyptic number.

It is an amenable number.

1012101111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012101111101 is an equidigital number, since it uses as much as digits as its factorization.

1012101111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1012101111101 its reverse (1011111012101), we get a palindrome (2023212123202).

The spelling of 1012101111101 in words is "one trillion, twelve billion, one hundred one million, one hundred eleven thousand, one hundred one".