101134333123104 has 96 divisors (see below), whose sum is σ = 270958715032320. Its totient is φ = 33020057548800.

The previous prime is 101134333123097. The next prime is 101134333123151. The reversal of 101134333123104 is 401321333431101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34730557 + ... + 37529724.

It is an arithmetic number, because the mean of its divisors is an integer number (2822486614920).

Almost surely, 2^{101134333123104} is an apocalyptic number.

It is an amenable number.

101134333123104 is an abundant number, since it is smaller than the sum of its proper divisors (169824381909216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101134333123104 is a wasteful number, since it uses less digits than its factorization.

101134333123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72260594 (or 72260586 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 101134333123104 its reverse (401321333431101), we get a palindrome (502455666554205).

The spelling of 101134333123104 in words is "one hundred one trillion, one hundred thirty-four billion, three hundred thirty-three million, one hundred twenty-three thousand, one hundred four".