102200200110221 has 32 divisors (see below), whose sum is σ = 106402575201120. Its totient is φ = 98099844710400.

The previous prime is 102200200110191. The next prime is 102200200110271. The reversal of 102200200110221 is 122011002002201.

It can be written as a sum of positive squares in 16 ways, for example, as 53721203775625 + 48478996334596 = 7329475^2 + 6962686^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200200110221 - 2¹⁸ = 102200199848077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200200110196 and 102200200110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200200110271) 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, 4885042841 + ... + 4885063761.

It is an arithmetic number, because the mean of its divisors is an integer number (3325080475035).

Almost surely, 2^{102200200110221} is an apocalyptic number.

It is an amenable number.

102200200110221 is a deficient number, since it is larger than the sum of its proper divisors (4202375090899).

102200200110221 is a wasteful number, since it uses less digits than its factorization.

102200200110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29057.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102200200110221 its reverse (122011002002201), we get a palindrome (224211202112422).

The spelling of 102200200110221 in words is "one hundred two trillion, two hundred billion, two hundred million, one hundred ten thousand, two hundred twenty-one".