103121021012101 has 2 divisors, whose sum is σ = 103121021012102. Its totient is φ = 103121021012100.

The previous prime is 103121021012069. The next prime is 103121021012147. The reversal of 103121021012101 is 101210120121301.

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., 81923044788225 + 21197976223876 = 9051135^2 + 4604126^2 .

It is a cyclic number.

It is not a de Polignac number, because 103121021012101 - 2⁵ = 103121021012069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103121021022101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51560510506050 + 51560510506051.

It is an arithmetic number, because the mean of its divisors is an integer number (51560510506051).

Almost surely, 2^{103121021012101} is an apocalyptic number.

It is an amenable number.

103121021012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103121021012101 is an equidigital number, since it uses as much as digits as its factorization.

103121021012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 103121021012101 its reverse (101210120121301), we get a palindrome (204331141133402).

The spelling of 103121021012101 in words is "one hundred three trillion, one hundred twenty-one billion, twenty-one million, twelve thousand, one hundred one".