120101103012101 has 8 divisors (see below), whose sum is σ = 120175865211480. Its totient is φ = 120026358047232.

The previous prime is 120101103012067. The next prime is 120101103012119. The reversal of 120101103012101 is 101210301101021.

It can be written as a sum of positive squares in 4 ways, for example, as 32563560189601 + 87537542822500 = 5706449^2 + 9356150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120101103012101 - 2³⁸ = 119826225105157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101103012901) 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 in 7 ways as a sum of consecutive naturals, for example, 9647051 + ... + 18255623.

It is an arithmetic number, because the mean of its divisors is an integer number (15021983151435).

Almost surely, 2^{120101103012101} is an apocalyptic number.

It is an amenable number.

120101103012101 is a deficient number, since it is larger than the sum of its proper divisors (74762199379).

120101103012101 is an equidigital number, since it uses as much as digits as its factorization.

120101103012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617255.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 120101103012101 its reverse (101210301101021), we get a palindrome (221311404113122).

The spelling of 120101103012101 in words is "one hundred twenty trillion, one hundred one billion, one hundred three million, twelve thousand, one hundred one".