21201101011013 has 24 divisors (see below), whose sum is σ = 26904825480384. Its totient is φ = 16520170027200.

The previous prime is 21201101010983. The next prime is 21201101011127. The reversal of 21201101011013 is 31011010110212.

It is not a de Polignac number, because 21201101011013 - 2¹⁴ = 21201100994629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201101011213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92079353 + ... + 92309313.

It is an arithmetic number, because the mean of its divisors is an integer number (1121034395016).

Almost surely, 2^{21201101011013} is an apocalyptic number.

It is an amenable number.

21201101011013 is a deficient number, since it is larger than the sum of its proper divisors (5703724469371).

21201101011013 is a wasteful number, since it uses less digits than its factorization.

21201101011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401033 (or 401026 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 21201101011013 its reverse (31011010110212), we get a palindrome (52212111121225).

The spelling of 21201101011013 in words is "twenty-one trillion, two hundred one billion, one hundred one million, eleven thousand, thirteen".