2101101112211 has 2 divisors, whose sum is σ = 2101101112212. Its totient is φ = 2101101112210.

The previous prime is 2101101112193. The next prime is 2101101112217. The reversal of 2101101112211 is 1122111011012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101101112211 - 2³⁰ = 2100027370387 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101101112217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550556105 + 1050550556106.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550556106).

Almost surely, 2^{2101101112211} is an apocalyptic number.

2101101112211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101112211 is an equidigital number, since it uses as much as digits as its factorization.

2101101112211 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 14.

Adding to 2101101112211 its reverse (1122111011012), we get a palindrome (3223212123223).

The spelling of 2101101112211 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, two hundred eleven".