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121102101013 is a prime number
BaseRepresentation
bin111000011001000111…
…1110110101000010101
3102120120210222010212111
41300302033312220111
53441004114213023
6131344502151021
711515010605615
oct1606217665025
9376523863774
10121102101013
11473a4a84a03
121b578a22471
13b55c62244a
145c0b870a45
15323bb0400d
hex1c323f6a15

121102101013 has 2 divisors, whose sum is σ = 121102101014. Its totient is φ = 121102101012.

The previous prime is 121102101007. The next prime is 121102101031. The reversal of 121102101013 is 310101201121.

It is a happy number.

Together with next prime (121102101031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117911884689 + 3190216324 = 343383^2 + 56482^2 .

It is a cyclic number.

It is not a de Polignac number, because 121102101013 - 217 = 121101969941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121102100984 and 121102101002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121102101073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60551050506 + 60551050507.

It is an arithmetic number, because the mean of its divisors is an integer number (60551050507).

Almost surely, 2121102101013 is an apocalyptic number.

It is an amenable number.

121102101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121102101013 is an equidigital number, since it uses as much as digits as its factorization.

121102101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 121102101013 its reverse (310101201121), we get a palindrome (431203302134).

The spelling of 121102101013 in words is "one hundred twenty-one billion, one hundred two million, one hundred one thousand, thirteen".