102212101212201 has 24 divisors (see below), whose sum is σ = 149107690282824. Its totient is φ = 67463923833600.

The previous prime is 102212101212197. The next prime is 102212101212253.

102212101212201 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 1 + 212 + 20 + 1 = 666.

102212101212201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 52320976088976 + 49891125123225 = 7233324^2 + 7063365^2 .

It is not a de Polignac number, because 102212101212201 - 2² = 102212101212197 is a prime.

It is a super-2 number, since 2×102212101212201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102212101212281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19611235 + ... + 24269831.

It is an arithmetic number, because the mean of its divisors is an integer number (6212820428451).

Almost surely, 2^{102212101212201} is an apocalyptic number.

It is an amenable number.

102212101212201 is a deficient number, since it is larger than the sum of its proper divisors (46895589070623).

102212101212201 is a wasteful number, since it uses less digits than its factorization.

102212101212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682841 (or 4682838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 10221210 and 1212201, that added together give a palindrome (11433411).

The spelling of 102212101212201 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, two hundred one".