10021001001121 has 16 divisors (see below), whose sum is σ = 10935868043520. Its totient is φ = 9106779127680.

The previous prime is 10021001001113. The next prime is 10021001001199. The reversal of 10021001001121 is 12110010012001.

It is a cyclic number.

It is not a de Polignac number, because 10021001001121 - 2³ = 10021001001113 is a prime.

It is a super-2 number, since 2×10021001001121² (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 = 10021001001098 and 10021001001107.

It is not an unprimeable number, because it can be changed into a prime (10021001001421) 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 15 ways as a sum of consecutive naturals, for example, 499865320 + ... + 499885366.

It is an arithmetic number, because the mean of its divisors is an integer number (683491752720).

Almost surely, 2^{10021001001121} is an apocalyptic number.

10021001001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021001001121 is a deficient number, since it is larger than the sum of its proper divisors (914867042399).

10021001001121 is a wasteful number, since it uses less digits than its factorization.

10021001001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33864.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021001001121 its reverse (12110010012001), we get a palindrome (22131011013122).

The spelling of 10021001001121 in words is "ten trillion, twenty-one billion, one million, one thousand, one hundred twenty-one".