21201221002101 has 32 divisors (see below), whose sum is σ = 32325580320768. Its totient is φ = 12107876266560.

The previous prime is 21201221002097. The next prime is 21201221002163. The reversal of 21201221002101 is 10120012210212.

It is not a de Polignac number, because 21201221002101 - 2² = 21201221002097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201221000101) 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, 275506036 + ... + 275582978.

It is an arithmetic number, because the mean of its divisors is an integer number (1010174385024).

Almost surely, 2^{21201221002101} is an apocalyptic number.

21201221002101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21201221002101 is a deficient number, since it is larger than the sum of its proper divisors (11124359318667).

21201221002101 is a wasteful number, since it uses less digits than its factorization.

21201221002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84481.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21201221002101 its reverse (10120012210212), we get a palindrome (31321233212313).

The spelling of 21201221002101 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-one million, two thousand, one hundred one".