10021000101121 has 16 divisors (see below), whose sum is σ = 10146928780800. Its totient is φ = 9895557934080.

The previous prime is 10021000101113. The next prime is 10021000101139. The reversal of 10021000101121 is 12110100012001.

It is a cyclic number.

It is not a de Polignac number, because 10021000101121 - 2³ = 10021000101113 is a prime.

It is a Duffinian number.

10021000101121 is a modest number, since divided by 101121 gives 10021 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10021000101098 and 10021000101107.

It is not an unprimeable number, because it can be changed into a prime (10021000101191) 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, 78317605 + ... + 78445453.

It is an arithmetic number, because the mean of its divisors is an integer number (634183048800).

Almost surely, 2^{10021000101121} is an apocalyptic number.

It is an amenable number.

10021000101121 is a deficient number, since it is larger than the sum of its proper divisors (125928679679).

10021000101121 is an equidigital number, since it uses as much as digits as its factorization.

10021000101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129744.

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

Adding to 10021000101121 its reverse (12110100012001), we get a palindrome (22131100113122).

The spelling of 10021000101121 in words is "ten trillion, twenty-one billion, one hundred one thousand, one hundred twenty-one".