101241133412355 has 20 divisors (see below), whose sum is σ = 181484105821392. Its totient is φ = 53995271153040.

The previous prime is 101241133412329. The next prime is 101241133412413. The reversal of 101241133412355 is 553214331142101.

101241133412355 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 411 + 3 + 3 + 4 + 1 + 235 + 5 = 666.

It is not a de Polignac number, because 101241133412355 - 2¹⁰ = 101241133411331 is a prime.

It is an unprimeable number.

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 in 19 ways as a sum of consecutive naturals, for example, 124989053191 + ... + 124989054000.

Almost surely, 2^{101241133412355} is an apocalyptic number.

101241133412355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101241133412355 is a deficient number, since it is larger than the sum of its proper divisors (80242972409037).

101241133412355 is an equidigital number, since it uses as much as digits as its factorization.

101241133412355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249978107208 (or 249978107199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 101241133412355 its reverse (553214331142101), we get a palindrome (654455464554456).

The spelling of 101241133412355 in words is "one hundred one trillion, two hundred forty-one billion, one hundred thirty-three million, four hundred twelve thousand, three hundred fifty-five".