101110110610056 has 64 divisors (see below), whose sum is σ = 255015214168320. Its totient is φ = 33404718842880.

The previous prime is 101110110610013. The next prime is 101110110610057. The reversal of 101110110610056 is 650016011011101.

It is a super-3 number, since 3×101110110610056³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101110110610057) 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 15 ways as a sum of consecutive naturals, for example, 315226321 + ... + 315546911.

It is an arithmetic number, because the mean of its divisors is an integer number (3984612721380).

Almost surely, 2^{101110110610056} is an apocalyptic number.

It is an amenable number.

101110110610056 is an abundant number, since it is smaller than the sum of its proper divisors (153905103558264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110110610056 is a wasteful number, since it uses less digits than its factorization.

101110110610056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437006 (or 437002 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 24.

Adding to 101110110610056 its reverse (650016011011101), we get a palindrome (751126121621157).

The spelling of 101110110610056 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, six hundred ten thousand, fifty-six".