10212122110001 has 64 divisors (see below), whose sum is σ = 12221815603200. Its totient is φ = 8349161184000.

The previous prime is 10212122109991. The next prime is 10212122110019. The reversal of 10212122110001 is 10001122121201.

It is not a de Polignac number, because 10212122110001 - 2¹⁰ = 10212122108977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212125110001) 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 63 ways as a sum of consecutive naturals, for example, 6886123406 + ... + 6886124888.

It is an arithmetic number, because the mean of its divisors is an integer number (190965868800).

Almost surely, 2^{10212122110001} is an apocalyptic number.

It is an amenable number.

10212122110001 is a deficient number, since it is larger than the sum of its proper divisors (2009693493199).

10212122110001 is a wasteful number, since it uses less digits than its factorization.

10212122110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10212122110001 its reverse (10001122121201), we get a palindrome (20213244231202).

The spelling of 10212122110001 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, one".