101121012000301 has 2 divisors, whose sum is σ = 101121012000302. Its totient is φ = 101121012000300.

The previous prime is 101121012000233. The next prime is 101121012000361. The reversal of 101121012000301 is 103000210121101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91487598957225 + 9633413043076 = 9564915^2 + 3103774^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121012000301 - 2³⁹ = 100571256186413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121012000361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560506000150 + 50560506000151.

It is an arithmetic number, because the mean of its divisors is an integer number (50560506000151).

Almost surely, 2^{101121012000301} is an apocalyptic number.

It is an amenable number.

101121012000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121012000301 is an equidigital number, since it uses as much as digits as its factorization.

101121012000301 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 101121012000301 its reverse (103000210121101), we get a palindrome (204121222121402).

The spelling of 101121012000301 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, three hundred one", and thus it is an aban number.