101964838718011 has 2 divisors, whose sum is σ = 101964838718012. Its totient is φ = 101964838718010.

The previous prime is 101964838717957. The next prime is 101964838718023. The reversal of 101964838718011 is 110817838469101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101964838718011 - 2³¹ = 101962691234363 is a prime.

It is a super-2 number, since 2×101964838718011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101964838718111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50982419359005 + 50982419359006.

It is an arithmetic number, because the mean of its divisors is an integer number (50982419359006).

Almost surely, 2^{101964838718011} is an apocalyptic number.

101964838718011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101964838718011 is an equidigital number, since it uses as much as digits as its factorization.

101964838718011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2322432, while the sum is 58.

The spelling of 101964838718011 in words is "one hundred one trillion, nine hundred sixty-four billion, eight hundred thirty-eight million, seven hundred eighteen thousand, eleven".