21201011102011 has 32 divisors (see below), whose sum is σ = 23323680027648. Its totient is φ = 19153723898880.

The previous prime is 21201011102003. The next prime is 21201011102021. The reversal of 21201011102011 is 11020111010212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21201011102011 - 2³ = 21201011102003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 21201011101982 and 21201011102000.

It is not an unprimeable number, because it can be changed into a prime (21201011102021) 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 in 31 ways as a sum of consecutive naturals, for example, 76905726 + ... + 77180908.

It is an arithmetic number, because the mean of its divisors is an integer number (728865000864).

Almost surely, 2^{21201011102011} is an apocalyptic number.

21201011102011 is a deficient number, since it is larger than the sum of its proper divisors (2122668925637).

21201011102011 is a wasteful number, since it uses less digits than its factorization.

21201011102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275971.

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

Adding to 21201011102011 its reverse (11020111010212), we get a palindrome (32221122112223).

The spelling of 21201011102011 in words is "twenty-one trillion, two hundred one billion, eleven million, one hundred two thousand, eleven".