10001122001021 has 12 divisors (see below), whose sum is σ = 10555358112000. Its totient is φ = 9474605934408.

The previous prime is 10001122000979. The next prime is 10001122001099. The reversal of 10001122001021 is 12010022110001.

It is not a de Polignac number, because 10001122001021 - 2¹⁸ = 10001121738877 is a prime.

It is a super-2 number, since 2×10001122001021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001122000993 and 10001122001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001122004021) 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 11 ways as a sum of consecutive naturals, for example, 30267620 + ... + 30596258.

It is an arithmetic number, because the mean of its divisors is an integer number (879613176000).

Almost surely, 2^{10001122001021} is an apocalyptic number.

It is an amenable number.

10001122001021 is a deficient number, since it is larger than the sum of its proper divisors (554236110979).

10001122001021 is an equidigital number, since it uses as much as digits as its factorization.

10001122001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412976 (or 412957 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001122001021 its reverse (12010022110001), we get a palindrome (22011144111022).

The spelling of 10001122001021 in words is "ten trillion, one billion, one hundred twenty-two million, one thousand, twenty-one".