21200100212101 has 2 divisors, whose sum is σ = 21200100212102. Its totient is φ = 21200100212100.

The previous prime is 21200100212087. The next prime is 21200100212107. The reversal of 21200100212101 is 10121200100212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19920814799076 + 1279285413025 = 4463274^2 + 1131055^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200100212101 - 2⁷ = 21200100211973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21200100212107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600050106050 + 10600050106051.

It is an arithmetic number, because the mean of its divisors is an integer number (10600050106051).

Almost surely, 2^{21200100212101} is an apocalyptic number.

It is an amenable number.

21200100212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200100212101 is an equidigital number, since it uses as much as digits as its factorization.

21200100212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21200100212101 its reverse (10121200100212), we get a palindrome (31321300312313).

It can be divided in two parts, 21200100212 and 101, that multiplied together give a palindrome (2141210121412).

The spelling of 21200100212101 in words is "twenty-one trillion, two hundred billion, one hundred million, two hundred twelve thousand, one hundred one".