20001100212101 has 2 divisors, whose sum is σ = 20001100212102. Its totient is φ = 20001100212100.

The previous prime is 20001100212083. The next prime is 20001100212139. The reversal of 20001100212101 is 10121200110002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18092696109601 + 1908404102500 = 4253551^2 + 1381450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20001100212101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001100212151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000550106050 + 10000550106051.

It is an arithmetic number, because the mean of its divisors is an integer number (10000550106051).

Almost surely, 2^{20001100212101} is an apocalyptic number.

It is an amenable number.

20001100212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001100212101 is an equidigital number, since it uses as much as digits as its factorization.

20001100212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20001100212101 its reverse (10121200110002), we get a palindrome (30122300322103).

The spelling of 20001100212101 in words is "twenty trillion, one billion, one hundred million, two hundred twelve thousand, one hundred one".