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1010100121 is a prime number
BaseRepresentation
bin111100001101001…
…110011110011001
32121101200101212121
4330031032132121
54032041200441
6244121541241
734013465212
oct7415163631
92541611777
101010100121
114791a2198
12242344821
131313654a4
149821a409
155da28dd1
hex3c34e799

1010100121 has 2 divisors, whose sum is σ = 1010100122. Its totient is φ = 1010100120.

The previous prime is 1010100103. The next prime is 1010100127. The reversal of 1010100121 is 1210010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 790734400 + 219365721 = 28120^2 + 14811^2 .

It is an emirp because it is prime and its reverse (1210010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100121 - 217 = 1009969049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050060 + 505050061.

It is an arithmetic number, because the mean of its divisors is an integer number (505050061).

Almost surely, 21010100121 is an apocalyptic number.

It is an amenable number.

1010100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100121 is an equidigital number, since it uses as much as digits as its factorization.

1010100121 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 7.

The square root of 1010100121 is about 31782.0723207282. The cubic root of 1010100121 is about 1003.3554354600.

Adding to 1010100121 its reverse (1210010101), we get a palindrome (2220110222).

The spelling of 1010100121 in words is "one billion, ten million, one hundred thousand, one hundred twenty-one".