102000203201 has 32 divisors (see below), whose sum is σ = 116933489568. Its totient is φ = 88140349440.

The previous prime is 102000203197. The next prime is 102000203243. The reversal of 102000203201 is 102302000201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6410404225 + 95589798976 = 80065^2 + 309176^2 .

It is not a de Polignac number, because 102000203201 - 2² = 102000203197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000208201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35650511 + ... + 35653371.

It is an arithmetic number, because the mean of its divisors is an integer number (3654171549).

Almost surely, 2^102000203201 is an apocalyptic number.

It is an amenable number.

102000203201 is a deficient number, since it is larger than the sum of its proper divisors (14933286367).

102000203201 is a wasteful number, since it uses less digits than its factorization.

102000203201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 102000203201 its reverse (102302000201), we get a palindrome (204302203402).

The spelling of 102000203201 in words is "one hundred two billion, two hundred three thousand, two hundred one".