2111334212101 has 2 divisors, whose sum is σ = 2111334212102. Its totient is φ = 2111334212100.

The previous prime is 2111334212033. The next prime is 2111334212129. The reversal of 2111334212101 is 1012124331112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1405709011876 + 705625200225 = 1185626^2 + 840015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111334212101 - 2²⁷ = 2111199994373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111334212131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055667106050 + 1055667106051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055667106051).

Almost surely, 2^{2111334212101} is an apocalyptic number.

It is an amenable number.

2111334212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111334212101 is an equidigital number, since it uses as much as digits as its factorization.

2111334212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 2111334212101 its reverse (1012124331112), we get a palindrome (3123458543213).

The spelling of 2111334212101 in words is "two trillion, one hundred eleven billion, three hundred thirty-four million, two hundred twelve thousand, one hundred one".