10122010001 has 8 divisors (see below), whose sum is σ = 10721973960. Its totient is φ = 9522551808.

The previous prime is 10122009971. The next prime is 10122010007. The reversal of 10122010001 is 10001022101.

10122010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2434929025 + 7687080976 = 49345^2 + 87676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122010001 - 2¹⁰ = 10122008977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84836 + ... + 165653.

It is an arithmetic number, because the mean of its divisors is an integer number (1340246745).

Almost surely, 2^10122010001 is an apocalyptic number.

It is an amenable number.

10122010001 is a deficient number, since it is larger than the sum of its proper divisors (599963959).

10122010001 is a wasteful number, since it uses less digits than its factorization.

10122010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252883.

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

Adding to 10122010001 its reverse (10001022101), we get a palindrome (20123032102).

The spelling of 10122010001 in words is "ten billion, one hundred twenty-two million, ten thousand, one".