2111020967261 has 2 divisors, whose sum is σ = 2111020967262. Its totient is φ = 2111020967260.

The previous prime is 2111020967249. The next prime is 2111020967273. The reversal of 2111020967261 is 1627690201112.

It is a balanced prime because it is at equal distance from previous prime (2111020967249) and next prime (2111020967273).

It can be written as a sum of positive squares in only one way, i.e., 1979972623225 + 131048344036 = 1407115^2 + 362006^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111020967261 - 2⁶ = 2111020967197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111020927261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055510483630 + 1055510483631.

It is an arithmetic number, because the mean of its divisors is an integer number (1055510483631).

Almost surely, 2^{2111020967261} is an apocalyptic number.

It is an amenable number.

2111020967261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111020967261 is an equidigital number, since it uses as much as digits as its factorization.

2111020967261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 2111020967261 in words is "two trillion, one hundred eleven billion, twenty million, nine hundred sixty-seven thousand, two hundred sixty-one".