102221212220201 has 8 divisors (see below), whose sum is σ = 103757330371464. Its totient is φ = 100695369107200.

The previous prime is 102221212220189. The next prime is 102221212220221. The reversal of 102221212220201 is 102022212122201.

It can be written as a sum of positive squares in 4 ways, for example, as 98711775744400 + 3509436475801 = 9935380^2 + 1873349^2 .

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 102221212220201 - 2⁴⁶ = 31852468042537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221212220221) 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, 2568739520 + ... + 2568779313.

It is an arithmetic number, because the mean of its divisors is an integer number (12969666296433).

Almost surely, 2^{102221212220201} is an apocalyptic number.

It is an amenable number.

102221212220201 is a deficient number, since it is larger than the sum of its proper divisors (1536118151263).

102221212220201 is a wasteful number, since it uses less digits than its factorization.

102221212220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137519131.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102221212220201 its reverse (102022212122201), we get a palindrome (204243424342402).

The spelling of 102221212220201 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, two hundred one".