102112133201 has 4 divisors (see below), whose sum is σ = 109966912692. Its totient is φ = 94257353712.

The previous prime is 102112133197. The next prime is 102112133231. The reversal of 102112133201 is 102331211201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 102331211201 = 313 ⋅326936777.

It can be written as a sum of positive squares in 2 ways, for example, as 32732046400 + 69380086801 = 180920^2 + 263401^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112133201 - 2² = 102112133197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102112133201.

It is not an unprimeable number, because it can be changed into a prime (102112133231) 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 3 ways as a sum of consecutive naturals, for example, 3927389726 + ... + 3927389751.

It is an arithmetic number, because the mean of its divisors is an integer number (27491728173).

Almost surely, 2^102112133201 is an apocalyptic number.

It is an amenable number.

102112133201 is a deficient number, since it is larger than the sum of its proper divisors (7854779491).

102112133201 is an equidigital number, since it uses as much as digits as its factorization.

102112133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854779490.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102112133201 its reverse (102331211201), we get a palindrome (204443344402).

It can be divided in two parts, 10211 and 2133201, that added together give a palindrome (2143412).

The spelling of 102112133201 in words is "one hundred two billion, one hundred twelve million, one hundred thirty-three thousand, two hundred one".