101110005056 has 56 divisors (see below), whose sum is σ = 203395319904. Its totient is φ = 49862822400.

The previous prime is 101110005053. The next prime is 101110005079. The reversal of 101110005056 is 650500011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110005053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3240731 + ... + 3271781.

It is an arithmetic number, because the mean of its divisors is an integer number (3632059284).

Almost surely, 2^101110005056 is an apocalyptic number.

101110005056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101697659952).

101110005056 is an abundant number, since it is smaller than the sum of its proper divisors (102285314848).

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

101110005056 is an equidigital number, since it uses as much as digits as its factorization.

101110005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31759 (or 31749 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 101110005056 its reverse (650500011101), we get a palindrome (751610016157).

The spelling of 101110005056 in words is "one hundred one billion, one hundred ten million, five thousand, fifty-six".