10021100212121 has 4 divisors (see below), whose sum is σ = 10062681541044. Its totient is φ = 9979518883200.

The previous prime is 10021100212111. The next prime is 10021100212127. The reversal of 10021100212121 is 12121200112001.

10021100212121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2955524858896 + 7065575353225 = 1719164^2 + 2658115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021100212121 - 2³⁴ = 10003920342937 is a prime.

It is a super-3 number, since 3×10021100212121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021100212096 and 10021100212105.

It is not an unprimeable number, because it can be changed into a prime (10021100212127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20790664100 + ... + 20790664581.

It is an arithmetic number, because the mean of its divisors is an integer number (2515670385261).

Almost surely, 2^{10021100212121} is an apocalyptic number.

It is an amenable number.

10021100212121 is a deficient number, since it is larger than the sum of its proper divisors (41581328923).

10021100212121 is an equidigital number, since it uses as much as digits as its factorization.

10021100212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41581328922.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10021100212121 its reverse (12121200112001), we get a palindrome (22142300324122).

The spelling of 10021100212121 in words is "ten trillion, twenty-one billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".