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120101313121 is a prime number
BaseRepresentation
bin110111111011010011…
…0001001101001100001
3102111000001210211222021
41233312212021221201
53431431414004441
6131101311541441
711451136213636
oct1576646115141
9374001724867
10120101313121
1146a31073179
121b33982a881
13b43019a76a
145b5499a18d
1531cdd193d1
hex1bf6989a61

120101313121 has 2 divisors, whose sum is σ = 120101313122. Its totient is φ = 120101313120.

The previous prime is 120101313107. The next prime is 120101313151. The reversal of 120101313121 is 121313101021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111179566096 + 8921747025 = 333436^2 + 94455^2 .

It is a cyclic number.

It is not a de Polignac number, because 120101313121 - 29 = 120101312609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120101313095 and 120101313104.

It is not a weakly prime, because it can be changed into another prime (120101313151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60050656560 + 60050656561.

It is an arithmetic number, because the mean of its divisors is an integer number (60050656561).

Almost surely, 2120101313121 is an apocalyptic number.

It is an amenable number.

120101313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

120101313121 is an equidigital number, since it uses as much as digits as its factorization.

120101313121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 120101313121 its reverse (121313101021), we get a palindrome (241414414142).

The spelling of 120101313121 in words is "one hundred twenty billion, one hundred one million, three hundred thirteen thousand, one hundred twenty-one".