102200032213201 has 8 divisors (see below), whose sum is σ = 110489828304744. Its totient is φ = 93971415429120.

The previous prime is 102200032213187. The next prime is 102200032213247. The reversal of 102200032213201 is 102312230002201.

It can be written as a sum of positive squares in 4 ways, for example, as 8238048040000 + 93961984173201 = 2870200^2 + 9693399^2 .

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 102200032213201 - 2¹³ = 102200032205009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200032213001) 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, 15294823390 + ... + 15294830071.

It is an arithmetic number, because the mean of its divisors is an integer number (13811228538093).

Almost surely, 2^{102200032213201} is an apocalyptic number.

It is an amenable number.

102200032213201 is a deficient number, since it is larger than the sum of its proper divisors (8289796091543).

102200032213201 is a wasteful number, since it uses less digits than its factorization.

102200032213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30589653731.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102200032213201 its reverse (102312230002201), we get a palindrome (204512262215402).

The spelling of 102200032213201 in words is "one hundred two trillion, two hundred billion, thirty-two million, two hundred thirteen thousand, two hundred one".