101072682156749 has 2 divisors, whose sum is σ = 101072682156750. Its totient is φ = 101072682156748.

The previous prime is 101072682156697. The next prime is 101072682156751. The reversal of 101072682156749 is 947651286270101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82576876701124 + 18495805455625 = 9087182^2 + 4300675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101072682156749 is a prime.

Together with 101072682156751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101072682156779) 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, 50536341078374 + 50536341078375.

It is an arithmetic number, because the mean of its divisors is an integer number (50536341078375).

Almost surely, 2^{101072682156749} is an apocalyptic number.

It is an amenable number.

101072682156749 is a deficient number, since it is larger than the sum of its proper divisors (1).

101072682156749 is an equidigital number, since it uses as much as digits as its factorization.

101072682156749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 101072682156749 in words is "one hundred one trillion, seventy-two billion, six hundred eighty-two million, one hundred fifty-six thousand, seven hundred forty-nine".