102331121133201 has 16 divisors (see below), whose sum is σ = 140862763066368. Its totient is φ = 66029420160000.

The previous prime is 102331121133181. The next prime is 102331121133217.

102331121133201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-102331121133201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102331121133401) 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, 2413334800 + ... + 2413377201.

It is an arithmetic number, because the mean of its divisors is an integer number (8803922691648).

Almost surely, 2^{102331121133201} is an apocalyptic number.

It is an amenable number.

102331121133201 is a deficient number, since it is larger than the sum of its proper divisors (38531641933167).

102331121133201 is a wasteful number, since it uses less digits than its factorization.

102331121133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826712232.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 102331121133201 in words is "one hundred two trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred one".