21001011300011 has 16 divisors (see below), whose sum is σ = 22247835068160. Its totient is φ = 19755464232960.

The previous prime is 21001011300001. The next prime is 21001011300013. The reversal of 21001011300011 is 11000311010012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21001011300011 - 2³⁸ = 20726133393067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21001011299965 and 21001011300001.

It is not an unprimeable number, because it can be changed into a prime (21001011300013) 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 15 ways as a sum of consecutive naturals, for example, 352235675 + ... + 352295291.

It is an arithmetic number, because the mean of its divisors is an integer number (1390489691760).

Almost surely, 2^{21001011300011} is an apocalyptic number.

21001011300011 is a deficient number, since it is larger than the sum of its proper divisors (1246823768149).

21001011300011 is a wasteful number, since it uses less digits than its factorization.

21001011300011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69974.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 21001011300011 its reverse (11000311010012), we get a palindrome (32001322310023).

The spelling of 21001011300011 in words is "twenty-one trillion, one billion, eleven million, three hundred thousand, eleven".