10210122102121 has 16 divisors (see below), whose sum is σ = 10255699278720. Its totient is φ = 10164663527040.

The previous prime is 10210122102031. The next prime is 10210122102127. The reversal of 10210122102121 is 12120122101201.

It is a cyclic number.

It is not a de Polignac number, because 10210122102121 - 2⁹ = 10210122101609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210122102095 and 10210122102104.

It is not an unprimeable number, because it can be changed into a prime (10210122102127) 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 15 ways as a sum of consecutive naturals, for example, 475298701 + ... + 475320181.

It is an arithmetic number, because the mean of its divisors is an integer number (640981204920).

Almost surely, 2^{10210122102121} is an apocalyptic number.

It is an amenable number.

10210122102121 is a deficient number, since it is larger than the sum of its proper divisors (45577176599).

10210122102121 is a wasteful number, since it uses less digits than its factorization.

10210122102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10210122102121 its reverse (12120122101201), we get a palindrome (22330244203322).

The spelling of 10210122102121 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".