21200020000101 has 24 divisors (see below), whose sum is σ = 30792545729400. Its totient is φ = 14054754787200.

The previous prime is 21200020000039. The next prime is 21200020000139. The reversal of 21200020000101 is 10100002000212.

It can be written as a sum of positive squares in 4 ways, for example, as 248802437601 + 20951217562500 = 498801^2 + 4577250^2 .

It is not a de Polignac number, because 21200020000101 - 2¹⁸ = 21200019737957 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200020000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47967475 + ... + 48407423.

It is an arithmetic number, because the mean of its divisors is an integer number (1283022738725).

Almost surely, 2^{21200020000101} is an apocalyptic number.

It is an amenable number.

21200020000101 is a deficient number, since it is larger than the sum of its proper divisors (9592525729299).

21200020000101 is a wasteful number, since it uses less digits than its factorization.

21200020000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469717 (or 469714 counting only the distinct ones).

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

Adding to 21200020000101 its reverse (10100002000212), we get a palindrome (31300022000313).

The spelling of 21200020000101 in words is "twenty-one trillion, two hundred billion, twenty million, one hundred one", and thus it is an aban number.