101534110525241 has 16 divisors (see below), whose sum is σ = 106111059225600. Its totient is φ = 97044312427200.

The previous prime is 101534110525223. The next prime is 101534110525249. The reversal of 101534110525241 is 142525011435101.

It is a happy number.

It is not a de Polignac number, because 101534110525241 - 2³⁰ = 101533036783417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101534110525249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47258726 + ... + 49360463.

It is an arithmetic number, because the mean of its divisors is an integer number (6631941201600).

Almost surely, 2^{101534110525241} is an apocalyptic number.

It is an amenable number.

101534110525241 is a deficient number, since it is larger than the sum of its proper divisors (4576948700359).

101534110525241 is a wasteful number, since it uses less digits than its factorization.

101534110525241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96619640.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 101534110525241 in words is "one hundred one trillion, five hundred thirty-four billion, one hundred ten million, five hundred twenty-five thousand, two hundred forty-one".