21200100201 has 48 divisors (see below), whose sum is σ = 36538894080. Its totient is φ = 11581194240.

The previous prime is 21200100161. The next prime is 21200100211. The reversal of 21200100201 is 10200100212.

It is not a de Polignac number, because 21200100201 - 2⁶ = 21200100137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21200100211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3893641 + ... + 3899081.

It is an arithmetic number, because the mean of its divisors is an integer number (761226960).

Almost surely, 2^21200100201 is an apocalyptic number.

21200100201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21200100201 is a deficient number, since it is larger than the sum of its proper divisors (15338793879).

21200100201 is a wasteful number, since it uses less digits than its factorization.

21200100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21200100201 its reverse (10200100212), we get a palindrome (31400200413).

The spelling of 21200100201 in words is "twenty-one billion, two hundred million, one hundred thousand, two hundred one".