10212212102121 has 12 divisors (see below), whose sum is σ = 14751731187648. Its totient is φ = 6807791485464.

The previous prime is 10212212102069. The next prime is 10212212102153. The reversal of 10212212102121 is 12120121221201.

10212212102121 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 210 + 212 + 1 = 666.

It is not a de Polignac number, because 10212212102121 - 2¹³ = 10212212093929 is a prime.

It is a super-2 number, since 2×10212212102121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212212102094 and 10212212102103.

It is not an unprimeable number, because it can be changed into a prime (10212212102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28974765 + ... + 29325098.

It is an arithmetic number, because the mean of its divisors is an integer number (1229310932304).

Almost surely, 2^{10212212102121} is an apocalyptic number.

It is an amenable number.

10212212102121 is a deficient number, since it is larger than the sum of its proper divisors (4539519085527).

10212212102121 is a wasteful number, since it uses less digits than its factorization.

10212212102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58319332 (or 58319329 counting only the distinct ones).

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

Adding to 10212212102121 its reverse (12120121221201), we get a palindrome (22332333323322).

The spelling of 10212212102121 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".