10212012122121 has 6 divisors (see below), whose sum is σ = 14750684176410. Its totient is φ = 6808008081408.

The previous prime is 10212012122101. The next prime is 10212012122141. The reversal of 10212012122121 is 12122121021201.

It is an interprime number because it is at equal distance from previous prime (10212012122101) and next prime (10212012122141).

It can be written as a sum of positive squares in only one way, i.e., 8784140078025 + 1427872044096 = 2963805^2 + 1194936^2 .

It is not a de Polignac number, because 10212012122121 - 2²² = 10212007927817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10212012122094 and 10212012122103.

It is not an unprimeable number, because it can be changed into a prime (10212012122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567334006776 + ... + 567334006793.

It is an arithmetic number, because the mean of its divisors is an integer number (2458447362735).

Almost surely, 2^{10212012122121} is an apocalyptic number.

It is an amenable number.

10212012122121 is a deficient number, since it is larger than the sum of its proper divisors (4538672054289).

10212012122121 is a wasteful number, since it uses less digits than its factorization.

10212012122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134668013575 (or 1134668013572 counting only the distinct ones).

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

Adding to 10212012122121 its reverse (12122121021201), we get a palindrome (22334133143322).

The spelling of 10212012122121 in words is "ten trillion, two hundred twelve billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".