21201100210101 has 16 divisors (see below), whose sum is σ = 34006777280000. Its totient is φ = 11477287331568.

The previous prime is 21201100210049. The next prime is 21201100210133. The reversal of 21201100210101 is 10101200110212.

It is not a de Polignac number, because 21201100210101 - 2⁹ = 21201100209589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201100210151) 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, 26567794351 + ... + 26567795148.

It is an arithmetic number, because the mean of its divisors is an integer number (2125423580000).

Almost surely, 2^{21201100210101} is an apocalyptic number.

21201100210101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21201100210101 is a deficient number, since it is larger than the sum of its proper divisors (12805677069899).

21201100210101 is a wasteful number, since it uses less digits than its factorization.

21201100210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53135589528.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21201100210101 its reverse (10101200110212), we get a palindrome (31302300320313).

The spelling of 21201100210101 in words is "twenty-one trillion, two hundred one billion, one hundred million, two hundred ten thousand, one hundred one".