21112002101011 has 2 divisors, whose sum is σ = 21112002101012. Its totient is φ = 21112002101010.

The previous prime is 21112002100927. The next prime is 21112002101041. The reversal of 21112002101011 is 11010120021112.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21112002101011 - 2¹⁵ = 21112002068243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112002100982 and 21112002101000.

It is not a weakly prime, because it can be changed into another prime (21112002101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556001050505 + 10556001050506.

It is an arithmetic number, because the mean of its divisors is an integer number (10556001050506).

Almost surely, 2^{21112002101011} is an apocalyptic number.

21112002101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112002101011 is an equidigital number, since it uses as much as digits as its factorization.

21112002101011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21112002101011 its reverse (11010120021112), we get a palindrome (32122122122123).

The spelling of 21112002101011 in words is "twenty-one trillion, one hundred twelve billion, two million, one hundred one thousand, eleven".