101096408918241 has 27 divisors (see below), whose sum is σ = 160510803223953. Its totient is φ = 61270349766120.

The previous prime is 101096408918189. The next prime is 101096408918251. The reversal of 101096408918241 is 142819804690101.

The square root of 101096408918241 is 10054671.

It is a perfect power (a square), and thus also a powerful number.

101096408918241 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 6 + 408 + 9 + 182 + 41 = 666.

It is not a de Polignac number, because 101096408918241 - 2³⁹ = 100546653104353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101096408918251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331651800 + ... + 331956486.

Almost surely, 2^{101096408918241} is an apocalyptic number.

101096408918241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101096408918241 is the 10054671-st square number.

101096408918241 is the 5027336-th centered octagonal number.

It is an amenable number.

101096408918241 is a deficient number, since it is larger than the sum of its proper divisors (59414394305712).

101096408918241 is an frugal number, since it uses more digits than its factorization.

101096408918241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609402 (or 304701 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 101096408918241 in words is "one hundred one trillion, ninety-six billion, four hundred eight million, nine hundred eighteen thousand, two hundred forty-one".