10001022121 has 8 divisors (see below), whose sum is σ = 10136532744. Its totient is φ = 9866227200.

The previous prime is 10001022113. The next prime is 10001022139. The reversal of 10001022121 is 12122010001.

10001022121 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 559984896 + 9441037225 = 23664^2 + 97165^2 .

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 10001022121 - 2³ = 10001022113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001022098 and 10001022107.

It is not an unprimeable number, because it can be changed into a prime (10001022181) 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, 150760 + ... + 206713.

It is an arithmetic number, because the mean of its divisors is an integer number (1267066593).

Almost surely, 2^10001022121 is an apocalyptic number.

It is an amenable number.

10001022121 is a deficient number, since it is larger than the sum of its proper divisors (135510623).

10001022121 is a wasteful number, since it uses less digits than its factorization.

10001022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357851.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001022121 its reverse (12122010001), we get a palindrome (22123032122).

The spelling of 10001022121 in words is "ten billion, one million, twenty-two thousand, one hundred twenty-one".