101011000747957 has 2 divisors, whose sum is σ = 101011000747958. Its totient is φ = 101011000747956.

The previous prime is 101011000747903. The next prime is 101011000747967. The reversal of 101011000747957 is 759747000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56824549698436 + 44186451049521 = 7538206^2 + 6647289^2 .

It is an emirp because it is prime and its reverse (759747000110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101011000747957 - 2²³ = 101010992359349 is a prime.

It is a super-2 number, since 2×101011000747957² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011000747967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500373978 + 50505500373979.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500373979).

Almost surely, 2^{101011000747957} is an apocalyptic number.

It is an amenable number.

101011000747957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000747957 is an equidigital number, since it uses as much as digits as its factorization.

101011000747957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 43.

The spelling of 101011000747957 in words is "one hundred one trillion, eleven billion, seven hundred forty-seven thousand, nine hundred fifty-seven".