101061056056100 has 72 divisors (see below), whose sum is σ = 265374443698560. Its totient is φ = 32611298757120.

The previous prime is 101061056056091. The next prime is 101061056056157. The reversal of 101061056056100 is 1650650160101.

101061056056100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4246250960 + ... + 4246274759.

It is an arithmetic number, because the mean of its divisors is an integer number (3685756162480).

Almost surely, 2^{101061056056100} is an apocalyptic number.

101061056056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101061056056100 is an abundant number, since it is smaller than the sum of its proper divisors (164313387642460).

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

101061056056100 is a wasteful number, since it uses less digits than its factorization.

101061056056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492525757 (or 8492525750 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 101061056056100 in words is "one hundred one trillion, sixty-one billion, fifty-six million, fifty-six thousand, one hundred".