21201000000201 has 48 divisors (see below), whose sum is σ = 35603273187456. Its totient is φ = 11906677202688.

The previous prime is 21201000000199. The next prime is 21201000000217. The reversal of 21201000000201 is 10200000010212.

It is not a de Polignac number, because 21201000000201 - 2¹ = 21201000000199 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21201000000101) 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, 6843210 + ... + 9446243.

It is an arithmetic number, because the mean of its divisors is an integer number (741734858072).

Almost surely, 2^{21201000000201} is an apocalyptic number.

21201000000201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21201000000201 is a deficient number, since it is larger than the sum of its proper divisors (14402273187255).

21201000000201 is a wasteful number, since it uses less digits than its factorization.

21201000000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289822 (or 16289819 counting only the distinct ones).

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

Adding to 21201000000201 its reverse (10200000010212), we get a palindrome (31401000010413).

The spelling of 21201000000201 in words is "twenty-one trillion, two hundred one billion, two hundred one", and thus it is an aban number.