102212002121121 has 6 divisors (see below), whose sum is σ = 147639558619410. Its totient is φ = 68141334747408.

The previous prime is 102212002121111. The next prime is 102212002121161. The reversal of 102212002121121 is 121121200212201.

102212002121121 is a `hidden beast` number, since 1 + 0 + 221 + 200 + 2 + 121 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74877247210896 + 27334754910225 = 8653164^2 + 5228265^2 .

It is not a de Polignac number, because 102212002121121 - 2²⁷ = 102211867903393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212002121094 and 102212002121103.

It is not an unprimeable number, because it can be changed into a prime (102212002121111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5678444562276 + ... + 5678444562293.

It is an arithmetic number, because the mean of its divisors is an integer number (24606593103235).

Almost surely, 2^{102212002121121} is an apocalyptic number.

It is an amenable number.

102212002121121 is a deficient number, since it is larger than the sum of its proper divisors (45427556498289).

102212002121121 is a wasteful number, since it uses less digits than its factorization.

102212002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356889124575 (or 11356889124572 counting only the distinct ones).

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

Adding to 102212002121121 its reverse (121121200212201), we get a palindrome (223333202333322).

The spelling of 102212002121121 in words is "one hundred two trillion, two hundred twelve billion, two million, one hundred twenty-one thousand, one hundred twenty-one".