102200012110201 has 8 divisors (see below), whose sum is σ = 102217065865704. Its totient is φ = 102182958888960.

The previous prime is 102200012110153. The next prime is 102200012110289. The reversal of 102200012110201 is 102011210002201.

It can be written as a sum of positive squares in 4 ways, for example, as 88178708601 + 102111833401600 = 296949^2 + 10105040^2 .

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 102200012110201 - 2²³ = 102200003721593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200012210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598355925 + ... + 598526701.

It is an arithmetic number, because the mean of its divisors is an integer number (12777133233213).

Almost surely, 2^{102200012110201} is an apocalyptic number.

It is an amenable number.

102200012110201 is a deficient number, since it is larger than the sum of its proper divisors (17053755503).

102200012110201 is an equidigital number, since it uses as much as digits as its factorization.

102200012110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267131.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102200012110201 its reverse (102011210002201), we get a palindrome (204211222112402).

The spelling of 102200012110201 in words is "one hundred two trillion, two hundred billion, twelve million, one hundred ten thousand, two hundred one".