102212102220021 has 12 divisors (see below), whose sum is σ = 147639834987372. Its totient is φ = 68141340658176.

The previous prime is 102212102220017. The next prime is 102212102220029. The reversal of 102212102220021 is 120022201212201.

It is a happy number.

102212102220021 is a `hidden beast` number, since 10 + 221 + 210 + 2 + 2 + 200 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56378863719396 + 45833238500625 = 7508586^2 + 6770025^2 .

It is not a de Polignac number, because 102212102220021 - 2² = 102212102220017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212102219976 and 102212102220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212102220029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7116565 + ... + 15970901.

It is an arithmetic number, because the mean of its divisors is an integer number (12303319582281).

Almost surely, 2^{102212102220021} is an apocalyptic number.

It is an amenable number.

102212102220021 is a deficient number, since it is larger than the sum of its proper divisors (45427732767351).

102212102220021 is a wasteful number, since it uses less digits than its factorization.

102212102220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136980 (or 10136977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212102220021 its reverse (120022201212201), we get a palindrome (222234303432222).

The spelling of 102212102220021 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, two hundred twenty thousand, twenty-one".