10211122111021 has 8 divisors (see below), whose sum is σ = 11105470202904. Its totient is φ = 9332327899200.

The previous prime is 10211122110949. The next prime is 10211122111063. The reversal of 10211122111021 is 12011122111201.

It can be written as a sum of positive squares in 4 ways, for example, as 3248970200100 + 6962151910921 = 1802490^2 + 2638589^2 .

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 10211122111021 - 2¹¹ = 10211122108973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211122110986 and 10211122111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211122111081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3888468646 + ... + 3888471271.

It is an arithmetic number, because the mean of its divisors is an integer number (1388183775363).

Almost surely, 2^{10211122111021} is an apocalyptic number.

It is an amenable number.

10211122111021 is a deficient number, since it is larger than the sum of its proper divisors (894348091883).

10211122111021 is a wasteful number, since it uses less digits than its factorization.

10211122111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776940031.

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

Adding to 10211122111021 its reverse (12011122111201), we get a palindrome (22222244222222).

The spelling of 10211122111021 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, twenty-one".