10011011011021 has 2 divisors, whose sum is σ = 10011011011022. Its totient is φ = 10011011011020.

The previous prime is 10011011011009. The next prime is 10011011011063. The reversal of 10011011011021 is 12011011011001.

10011011011021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8564490045225 + 1446520965796 = 2926515^2 + 1202714^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011011011021 - 2⁴¹ = 7811987755469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011011010989 and 10011011011007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011011011921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005505505510 + 5005505505511.

It is an arithmetic number, because the mean of its divisors is an integer number (5005505505511).

Almost surely, 2^{10011011011021} is an apocalyptic number.

It is an amenable number.

10011011011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011011011021 is an equidigital number, since it uses as much as digits as its factorization.

10011011011021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10011011011021 its reverse (12011011011001), we get a palindrome (22022022022022).

The spelling of 10011011011021 in words is "ten trillion, eleven billion, eleven million, eleven thousand, twenty-one".