101056101056 has 56 divisors (see below), whose sum is σ = 202667402640. Its totient is φ = 49991040000.

The previous prime is 101056101043. The next prime is 101056101067. The reversal of 101056101056 is 650101650101.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10201706 + ... + 10211606.

Almost surely, 2^101056101056 is an apocalyptic number.

101056101056 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 101056101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101333701320).

101056101056 is an abundant number, since it is smaller than the sum of its proper divisors (101611301584).

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

101056101056 is a wasteful number, since it uses less digits than its factorization.

101056101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11583 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 101056101056 its reverse (650101650101), we get a palindrome (751157751157).

The spelling of 101056101056 in words is "one hundred one billion, fifty-six million, one hundred one thousand, fifty-six".