101110060506100 has 54 divisors (see below), whose sum is σ = 231564445303254. Its totient is φ = 38315391336000.

The previous prime is 101110060506097. The next prime is 101110060506101. The reversal of 101110060506100 is 1605060011101.

It can be written as a sum of positive squares in 3 ways, for example, as 19245312754704 + 81864747751396 = 4386948^2 + 9047914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110060506101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1400380251 + ... + 1400452450.

Almost surely, 2^{101110060506100} is an apocalyptic number.

101110060506100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110060506100 is an abundant number, since it is smaller than the sum of its proper divisors (130454384797154).

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

101110060506100 is a wasteful number, since it uses less digits than its factorization.

101110060506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800832753 (or 2800832727 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 101110060506100 in words is "one hundred one trillion, one hundred ten billion, sixty million, five hundred six thousand, one hundred".