101535747457 has 2 divisors, whose sum is σ = 101535747458. Its totient is φ = 101535747456.

The previous prime is 101535747437. The next prime is 101535747461. The reversal of 101535747457 is 754747535101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100073526336 + 1462221121 = 316344^2 + 38239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101535747457 is a prime.

It is a super-3 number, since 3×101535747457³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101535747457.

It is not a weakly prime, because it can be changed into another prime (101535747427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50767873728 + 50767873729.

It is an arithmetic number, because the mean of its divisors is an integer number (50767873729).

Almost surely, 2^101535747457 is an apocalyptic number.

It is an amenable number.

101535747457 is a deficient number, since it is larger than the sum of its proper divisors (1).

101535747457 is an equidigital number, since it uses as much as digits as its factorization.

101535747457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058000, while the sum is 49.

The spelling of 101535747457 in words is "one hundred one billion, five hundred thirty-five million, seven hundred forty-seven thousand, four hundred fifty-seven".