103033112000101 has 2 divisors, whose sum is σ = 103033112000102. Its totient is φ = 103033112000100.

The previous prime is 103033112000051. The next prime is 103033112000149. The reversal of 103033112000101 is 101000211330301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102389121800001 + 643990200100 = 10118751^2 + 802490^2 .

It is a cyclic number.

It is not a de Polignac number, because 103033112000101 - 2⁷ = 103033111999973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103033112090101) 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, 51516556000050 + 51516556000051.

It is an arithmetic number, because the mean of its divisors is an integer number (51516556000051).

Almost surely, 2^{103033112000101} is an apocalyptic number.

It is an amenable number.

103033112000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103033112000101 is an equidigital number, since it uses as much as digits as its factorization.

103033112000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103033112000101 its reverse (101000211330301), we get a palindrome (204033323330402).

The spelling of 103033112000101 in words is "one hundred three trillion, thirty-three billion, one hundred twelve million, one hundred one", and thus it is an aban number.