102232101232201 has 8 divisors (see below), whose sum is σ = 103248227233800. Its totient is φ = 101216052230400.

The previous prime is 102232101232187. The next prime is 102232101232229.

102232101232201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 52668403290000 + 49563697942201 = 7257300^2 + 7040149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102232101232201 - 2¹¹ = 102232101230153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102232101212201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16579536 + ... + 21893953.

It is an arithmetic number, because the mean of its divisors is an integer number (12906028404225).

Almost surely, 2^{102232101232201} is an apocalyptic number.

It is an amenable number.

102232101232201 is a deficient number, since it is larger than the sum of its proper divisors (1016126001599).

102232101232201 is a wasteful number, since it uses less digits than its factorization.

102232101232201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38499899.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 10223210 and 1232201, that added together give a palindrome (11455411).

The spelling of 102232101232201 in words is "one hundred two trillion, two hundred thirty-two billion, one hundred one million, two hundred thirty-two thousand, two hundred one".