10122122212101 has 64 divisors (see below), whose sum is σ = 16437448454400. Its totient is φ = 6127614259200.

The previous prime is 10122122212091. The next prime is 10122122212121. The reversal of 10122122212101 is 10121222122101.

10122122212101 is a `hidden beast` number, since 10 + 1 + 221 + 2 + 221 + 210 + 1 = 666.

It is not a de Polignac number, because 10122122212101 - 2⁹ = 10122122211589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122122212121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17836906 + ... + 18395636.

It is an arithmetic number, because the mean of its divisors is an integer number (256835132100).

Almost surely, 2^{10122122212101} is an apocalyptic number.

It is an amenable number.

10122122212101 is a deficient number, since it is larger than the sum of its proper divisors (6315326242299).

10122122212101 is a wasteful number, since it uses less digits than its factorization.

10122122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560147 (or 560141 counting only the distinct ones).

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

Adding to 10122122212101 its reverse (10121222122101), we get a palindrome (20243344334202).

The spelling of 10122122212101 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred one".