121133120101 has 16 divisors (see below), whose sum is σ = 146599390080. Its totient is φ = 97708746240.

The previous prime is 121133120083. The next prime is 121133120137. The reversal of 121133120101 is 101021331121.

It is a happy number.

It is not a de Polignac number, because 121133120101 - 2¹⁹ = 121132595813 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 (121133120701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974410 + ... + 1091668.

It is an arithmetic number, because the mean of its divisors is an integer number (9162461880).

Almost surely, 2^121133120101 is an apocalyptic number.

It is an amenable number.

121133120101 is a deficient number, since it is larger than the sum of its proper divisors (25466269979).

121133120101 is a wasteful number, since it uses less digits than its factorization.

121133120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125964.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 121133120101 its reverse (101021331121), we get a palindrome (222154451222).

The spelling of 121133120101 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred twenty thousand, one hundred one".