102200133210133 has 16 divisors (see below), whose sum is σ = 118049870315520. Its totient is φ = 86664494894256.

The previous prime is 102200133210121. The next prime is 102200133210211. The reversal of 102200133210133 is 331012331002201.

It is a cyclic number.

It is not a de Polignac number, because 102200133210133 - 2²⁹ = 102199596339221 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 (102200133210233) 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, 68817685 + ... + 70287082.

It is an arithmetic number, because the mean of its divisors is an integer number (7378116894720).

Almost surely, 2^{102200133210133} is an apocalyptic number.

It is an amenable number.

102200133210133 is a deficient number, since it is larger than the sum of its proper divisors (15849737105387).

102200133210133 is a wasteful number, since it uses less digits than its factorization.

102200133210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139105896.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102200133210133 its reverse (331012331002201), we get a palindrome (433212464212334).

The spelling of 102200133210133 in words is "one hundred two trillion, two hundred billion, one hundred thirty-three million, two hundred ten thousand, one hundred thirty-three".