102212122222201 has 8 divisors (see below), whose sum is σ = 102245534473320. Its totient is φ = 102178712498688.

The previous prime is 102212122222129. The next prime is 102212122222219. The reversal of 102212122222201 is 102222221212201.

It can be written as a sum of positive squares in 4 ways, for example, as 3652914787600 + 98559207434601 = 1911260^2 + 9927699^2 .

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 102212122222201 - 2²⁵ = 102212088667769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212122222241) 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, 82020165 + ... + 83257021.

It is an arithmetic number, because the mean of its divisors is an integer number (12780691809165).

Almost surely, 2^{102212122222201} is an apocalyptic number.

It is an amenable number.

102212122222201 is a deficient number, since it is larger than the sum of its proper divisors (33412251119).

102212122222201 is a wasteful number, since it uses less digits than its factorization.

102212122222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263803.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 102212122222201 its reverse (102222221212201), we get a palindrome (204434343434402).

The spelling of 102212122222201 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred one".