120135633225101 has 16 divisors (see below), whose sum is σ = 137590123809600. Its totient is φ = 103974810720768.

The previous prime is 120135633225061. The next prime is 120135633225109. The reversal of 120135633225101 is 101522336531021.

It is a happy number.

It is not a de Polignac number, because 120135633225101 - 2⁴² = 115737586713997 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 (120135633225109) 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 15 ways as a sum of consecutive naturals, for example, 2507084711 + ... + 2507132628.

It is an arithmetic number, because the mean of its divisors is an integer number (8599382738100).

Almost surely, 2^{120135633225101} is an apocalyptic number.

It is an amenable number.

120135633225101 is a deficient number, since it is larger than the sum of its proper divisors (17454490584499).

120135633225101 is a wasteful number, since it uses less digits than its factorization.

120135633225101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014217468.

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 120135633225101 its reverse (101522336531021), we get a palindrome (221657969756122).

The spelling of 120135633225101 in words is "one hundred twenty trillion, one hundred thirty-five billion, six hundred thirty-three million, two hundred twenty-five thousand, one hundred one".