10212100001 has 16 divisors (see below), whose sum is σ = 10499716800. Its totient is φ = 9929092800.

The previous prime is 10212099983. The next prime is 10212100007. The reversal of 10212100001 is 10000121201.

It is a cyclic number.

It is not a de Polignac number, because 10212100001 - 2¹⁰ = 10212098977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345975 + ... + 2350323.

It is an arithmetic number, because the mean of its divisors is an integer number (656232300).

Almost surely, 2^10212100001 is an apocalyptic number.

It is an amenable number.

10212100001 is a deficient number, since it is larger than the sum of its proper divisors (287616799).

10212100001 is a wasteful number, since it uses less digits than its factorization.

10212100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10212100001 its reverse (10000121201), we get a palindrome (20212221202).

The spelling of 10212100001 in words is "ten billion, two hundred twelve million, one hundred thousand, one".