21200001000101 has 32 divisors (see below), whose sum is σ = 26742209999616. Its totient is φ = 16325686080000.

The previous prime is 21200001000067. The next prime is 21200001000133. The reversal of 21200001000101 is 10100010000212.

It is a de Polignac number, because none of the positive numbers 2^k-21200001000101 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 (21200001000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687961 + ... + 6726753.

It is an arithmetic number, because the mean of its divisors is an integer number (835694062488).

Almost surely, 2^{21200001000101} is an apocalyptic number.

It is an amenable number.

21200001000101 is a deficient number, since it is larger than the sum of its proper divisors (5542208999515).

21200001000101 is a wasteful number, since it uses less digits than its factorization.

21200001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039453.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21200001000101 its reverse (10100010000212), we get a palindrome (31300011000313).

The spelling of 21200001000101 in words is "twenty-one trillion, two hundred billion, one million, one hundred one", and thus it is an aban number.