101505749499457 has 2 divisors, whose sum is σ = 101505749499458. Its totient is φ = 101505749499456.

The previous prime is 101505749499367. The next prime is 101505749499463. The reversal of 101505749499457 is 754994947505101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90453110147856 + 11052639351601 = 9510684^2 + 3324551^2 .

It is a cyclic number.

It is not a de Polignac number, because 101505749499457 - 2¹¹ = 101505749497409 is a prime.

It is not a weakly prime, because it can be changed into another prime (101505749499157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50752874749728 + 50752874749729.

It is an arithmetic number, because the mean of its divisors is an integer number (50752874749729).

Almost surely, 2^{101505749499457} is an apocalyptic number.

It is an amenable number.

101505749499457 is a deficient number, since it is larger than the sum of its proper divisors (1).

101505749499457 is an equidigital number, since it uses as much as digits as its factorization.

101505749499457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 285768000, while the sum is 70.

The spelling of 101505749499457 in words is "one hundred one trillion, five hundred five billion, seven hundred forty-nine million, four hundred ninety-nine thousand, four hundred fifty-seven".