2000212101101 has 2 divisors, whose sum is σ = 2000212101102. Its totient is φ = 2000212101100.

The previous prime is 2000212101079. The next prime is 2000212101133. The reversal of 2000212101101 is 1011012120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1681806954025 + 318405147076 = 1296845^2 + 564274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000212101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000212103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000106050550 + 1000106050551.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106050551).

Almost surely, 2^{2000212101101} is an apocalyptic number.

It is an amenable number.

2000212101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000212101101 is an equidigital number, since it uses as much as digits as its factorization.

2000212101101 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 2000212101101 its reverse (1011012120002), we get a palindrome (3011224221103).

The spelling of 2000212101101 in words is "two trillion, two hundred twelve million, one hundred one thousand, one hundred one".