101540053152529 has 2 divisors, whose sum is σ = 101540053152530. Its totient is φ = 101540053152528.

The previous prime is 101540053152457. The next prime is 101540053152557. The reversal of 101540053152529 is 925251350045101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63526909522129 + 38013143630400 = 7970377^2 + 6165480^2 .

It is a cyclic number.

It is not a de Polignac number, because 101540053152529 - 2⁷ = 101540053152401 is a prime.

It is a super-2 number, since 2×101540053152529² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101540053152569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770026576264 + 50770026576265.

It is an arithmetic number, because the mean of its divisors is an integer number (50770026576265).

Almost surely, 2^{101540053152529} is an apocalyptic number.

It is an amenable number.

101540053152529 is a deficient number, since it is larger than the sum of its proper divisors (1).

101540053152529 is an equidigital number, since it uses as much as digits as its factorization.

101540053152529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270000, while the sum is 43.

The spelling of 101540053152529 in words is "one hundred one trillion, five hundred forty billion, fifty-three million, one hundred fifty-two thousand, five hundred twenty-nine".