2110211000101 has 2 divisors, whose sum is σ = 2110211000102. Its totient is φ = 2110211000100.

The previous prime is 2110211000087. The next prime is 2110211000141. The reversal of 2110211000101 is 1010001120112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2027778848001 + 82432152100 = 1424001^2 + 287110^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110211000101 - 2⁵ = 2110211000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110211000141) 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 as a sum of consecutive naturals, namely, 1055105500050 + 1055105500051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055105500051).

Almost surely, 2^{2110211000101} is an apocalyptic number.

It is an amenable number.

2110211000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110211000101 is an equidigital number, since it uses as much as digits as its factorization.

2110211000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110211000101 its reverse (1010001120112), we get a palindrome (3120212120213).

The spelling of 2110211000101 in words is "two trillion, one hundred ten billion, two hundred eleven million, one hundred one", and thus it is an aban number.