102222100001201 has 16 divisors (see below), whose sum is σ = 118885306780800. Its totient is φ = 87182558293248.

The previous prime is 102222100001113. The next prime is 102222100001207. The reversal of 102222100001201 is 102100001222201.

It is a cyclic number.

It is not a de Polignac number, because 102222100001201 - 2¹⁴ = 102222099984817 is a prime.

It is a super-3 number, since 3×102222100001201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102222100001207) 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 15 ways as a sum of consecutive naturals, for example, 6879929306 + ... + 6879944163.

It is an arithmetic number, because the mean of its divisors is an integer number (7430331673800).

Almost surely, 2^{102222100001201} is an apocalyptic number.

It is an amenable number.

102222100001201 is a deficient number, since it is larger than the sum of its proper divisors (16663206779599).

102222100001201 is a wasteful number, since it uses less digits than its factorization.

102222100001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13759873528.

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

Adding to 102222100001201 its reverse (102100001222201), we get a palindrome (204322101223402).

The spelling of 102222100001201 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, one thousand, two hundred one".