101110055606001 has 48 divisors (see below), whose sum is σ = 158238061188480. Its totient is φ = 61844385081600.

The previous prime is 101110055605987. The next prime is 101110055606017. The reversal of 101110055606001 is 100606550011101.

101110055606001 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 0 + 0 + 5 + 56 + 0 + 600 + 1 = 666.

It is not a de Polignac number, because 101110055606001 - 2¹⁰ = 101110055604977 is a prime.

It is a super-2 number, since 2×101110055606001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101110055606501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12794740 + ... + 19129178.

It is an arithmetic number, because the mean of its divisors is an integer number (3296626274760).

Almost surely, 2^{101110055606001} is an apocalyptic number.

It is an amenable number.

101110055606001 is a deficient number, since it is larger than the sum of its proper divisors (57128005582479).

101110055606001 is a wasteful number, since it uses less digits than its factorization.

101110055606001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335286 (or 6335283 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 101110055606001 in words is "one hundred one trillion, one hundred ten billion, fifty-five million, six hundred six thousand, one".