101055550555601 has 8 divisors (see below), whose sum is σ = 102089660917608. Its totient is φ = 100022098240000.

The previous prime is 101055550555591. The next prime is 101055550555633. The reversal of 101055550555601 is 106555055550101.

It can be written as a sum of positive squares in 4 ways, for example, as 34994027580625 + 66061522974976 = 5915575^2 + 8127824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101055550555601 - 2²⁶ = 101055483446737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101055550555681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164202890 + ... + 164817171.

It is an arithmetic number, because the mean of its divisors is an integer number (12761207614701).

Almost surely, 2^{101055550555601} is an apocalyptic number.

It is an amenable number.

101055550555601 is a deficient number, since it is larger than the sum of its proper divisors (1034110362007).

101055550555601 is a wasteful number, since it uses less digits than its factorization.

101055550555601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329023203.

The product of its (nonzero) digits is 468750, while the sum is 44.

The spelling of 101055550555601 in words is "one hundred one trillion, fifty-five billion, five hundred fifty million, five hundred fifty-five thousand, six hundred one".