102212222000121 has 48 divisors (see below), whose sum is σ = 149379694291152. Its totient is φ = 67341074112000.

The previous prime is 102212222000087. The next prime is 102212222000149. The reversal of 102212222000121 is 121000222212201.

It is a happy number.

102212222000121 is a `hidden beast` number, since 1 + 0 + 221 + 222 + 200 + 0 + 1 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21781458377721 + 80430763622400 = 4667061^2 + 8968320^2 .

It is not a de Polignac number, because 102212222000121 - 2⁹ = 102212221999609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102212222000094 and 102212222000103.

It is not an unprimeable number, because it can be changed into a prime (102212222000821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888141371 + ... + 1888195503.

It is an arithmetic number, because the mean of its divisors is an integer number (3112076964399).

Almost surely, 2^{102212222000121} is an apocalyptic number.

It is an amenable number.

102212222000121 is a deficient number, since it is larger than the sum of its proper divisors (47167472291031).

102212222000121 is a wasteful number, since it uses less digits than its factorization.

102212222000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58074 (or 58071 counting only the distinct ones).

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

Adding to 102212222000121 its reverse (121000222212201), we get a palindrome (223212444212322).

The spelling of 102212222000121 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.