101055561056105 has 64 divisors (see below), whose sum is σ = 130163918976000. Its totient is φ = 75087899175168.

The previous prime is 101055561056077. The next prime is 101055561056117. The reversal of 101055561056105 is 501650165550101.

It is a cyclic number.

It is not a de Polignac number, because 101055561056105 - 2¹² = 101055561052009 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3285596387 + ... + 3285627143.

It is an arithmetic number, because the mean of its divisors is an integer number (2033811234000).

Almost surely, 2^{101055561056105} is an apocalyptic number.

It is an amenable number.

101055561056105 is a deficient number, since it is larger than the sum of its proper divisors (29108357919895).

101055561056105 is a wasteful number, since it uses less digits than its factorization.

101055561056105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32406.

The product of its (nonzero) digits is 112500, while the sum is 41.

The spelling of 101055561056105 in words is "one hundred one trillion, fifty-five billion, five hundred sixty-one million, fifty-six thousand, one hundred five".