101334424433101 has 16 divisors (see below), whose sum is σ = 104517636526080. Its totient is φ = 98194057724800.

The previous prime is 101334424433093. The next prime is 101334424433129.

101334424433101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101334424433101 - 2³ = 101334424433093 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 (101334424433701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217592985 + ... + 218058193.

It is an arithmetic number, because the mean of its divisors is an integer number (6532352282880).

Almost surely, 2^{101334424433101} is an apocalyptic number.

It is an amenable number.

101334424433101 is a deficient number, since it is larger than the sum of its proper divisors (3183212092979).

101334424433101 is a wasteful number, since it uses less digits than its factorization.

101334424433101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511244.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 101334424433101 in words is "one hundred one trillion, three hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-three thousand, one hundred one".