101051545349 has 2 divisors, whose sum is σ = 101051545350. Its totient is φ = 101051545348.

The previous prime is 101051545303. The next prime is 101051545369. The reversal of 101051545349 is 943545150101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63189390625 + 37862154724 = 251375^2 + 194582^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101051545349 is a prime.

It is a super-2 number, since 2×101051545349² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101051545369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525772674 + 50525772675.

It is an arithmetic number, because the mean of its divisors is an integer number (50525772675).

Almost surely, 2^101051545349 is an apocalyptic number.

It is an amenable number.

101051545349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051545349 is an equidigital number, since it uses as much as digits as its factorization.

101051545349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 101051545349 in words is "one hundred one billion, fifty-one million, five hundred forty-five thousand, three hundred forty-nine".