101116111116132 has 36 divisors (see below), whose sum is σ = 292113209891776. Its totient is φ = 28890317461680.

The previous prime is 101116111116107. The next prime is 101116111116133. The reversal of 101116111116132 is 231611111611101.

101116111116132 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 611 + 1 + 1 + 16 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 101116111116096 and 101116111116105.

It is not an unprimeable number, because it can be changed into a prime (101116111116133) 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 11 ways as a sum of consecutive naturals, for example, 200627204344 + ... + 200627204847.

Almost surely, 2^{101116111116132} is an apocalyptic number.

101116111116132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101116111116132 is an abundant number, since it is smaller than the sum of its proper divisors (190997098775644).

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

101116111116132 is a wasteful number, since it uses less digits than its factorization.

101116111116132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401254409208 (or 401254409203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

Adding to 101116111116132 its reverse (231611111611101), we get a palindrome (332727222727233).

The spelling of 101116111116132 in words is "one hundred one trillion, one hundred sixteen billion, one hundred eleven million, one hundred sixteen thousand, one hundred thirty-two".