2110211110001 has 2 divisors, whose sum is σ = 2110211110002. Its totient is φ = 2110211110000.

The previous prime is 2110211109961. The next prime is 2110211110009. The reversal of 2110211110001 is 1000111120112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2046101376400 + 64109733601 = 1430420^2 + 253199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110211110001 - 2¹⁰ = 2110211108977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110211110009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055105555000 + 1055105555001.

It is an arithmetic number, because the mean of its divisors is an integer number (1055105555001).

Almost surely, 2^{2110211110001} is an apocalyptic number.

It is an amenable number.

2110211110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110211110001 is an equidigital number, since it uses as much as digits as its factorization.

2110211110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110211110001 its reverse (1000111120112), we get a palindrome (3110322230113).

The spelling of 2110211110001 in words is "two trillion, one hundred ten billion, two hundred eleven million, one hundred ten thousand, one".