120101000101 has 2 divisors, whose sum is σ = 120101000102. Its totient is φ = 120101000100.

The previous prime is 120101000057. The next prime is 120101000119. The reversal of 120101000101 is 101000101021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111118889025 + 8982111076 = 333345^2 + 94774^2 .

It is a cyclic number.

It is not a de Polignac number, because 120101000101 - 2¹³ = 120100991909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120101000161) 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, 60050500050 + 60050500051.

It is an arithmetic number, because the mean of its divisors is an integer number (60050500051).

Almost surely, 2^120101000101 is an apocalyptic number.

It is an amenable number.

120101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

120101000101 is an equidigital number, since it uses as much as digits as its factorization.

120101000101 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.

Adding to 120101000101 its reverse (101000101021), we get a palindrome (221101101122).

The spelling of 120101000101 in words is "one hundred twenty billion, one hundred one million, one hundred one", and thus it is an aban number.