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103001112121 is a prime number
BaseRepresentation
bin101111111101101011…
…0000011111000111001
3100211212022202122010111
41133323112003320321
53141421241041441
6115152411144321
710304315002345
oct1377326037071
9324768678114
10103001112121
113a756496056
1217b66a450a1
1399364c322b
144db1876625
152a2c94d081
hex17fb583e39

103001112121 has 2 divisors, whose sum is σ = 103001112122. Its totient is φ = 103001112120.

The previous prime is 103001112101. The next prime is 103001112311. The reversal of 103001112121 is 121211100301.

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., 100958072121 + 2043040000 = 317739^2 + 45200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103001112121 is a prime.

It is not a weakly prime, because it can be changed into another prime (103001112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51500556060 + 51500556061.

It is an arithmetic number, because the mean of its divisors is an integer number (51500556061).

Almost surely, 2103001112121 is an apocalyptic number.

It is an amenable number.

103001112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

103001112121 is an equidigital number, since it uses as much as digits as its factorization.

103001112121 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 103001112121 its reverse (121211100301), we get a palindrome (224212212422).

The spelling of 103001112121 in words is "one hundred three billion, one million, one hundred twelve thousand, one hundred twenty-one".