10021120011011 has 2 divisors, whose sum is σ = 10021120011012. Its totient is φ = 10021120011010.

The previous prime is 10021120010927. The next prime is 10021120011029. The reversal of 10021120011011 is 11011002112001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10021120011011 - 2¹⁸ = 10021119748867 is a prime.

It is a super-2 number, since 2×10021120011011² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021120010983 and 10021120011001.

It is not a weakly prime, because it can be changed into another prime (10021120011211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010560005505 + 5010560005506.

It is an arithmetic number, because the mean of its divisors is an integer number (5010560005506).

Almost surely, 2^{10021120011011} is an apocalyptic number.

10021120011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021120011011 is an equidigital number, since it uses as much as digits as its factorization.

10021120011011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10021120011011 its reverse (11011002112001), we get a palindrome (21032122123012).

The spelling of 10021120011011 in words is "ten trillion, twenty-one billion, one hundred twenty million, eleven thousand, eleven".