101101109999968 has 24 divisors (see below), whose sum is σ = 214353795721968. Its totient is φ = 46662050769024.

The previous prime is 101101109999933. The next prime is 101101109999969. The reversal of 101101109999968 is 869999901101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101109999969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121515756796 + ... + 121515757627.

It is an arithmetic number, because the mean of its divisors is an integer number (8931408155082).

Almost surely, 2^{101101109999968} is an apocalyptic number.

It is an amenable number.

101101109999968 is an abundant number, since it is smaller than the sum of its proper divisors (113252685722000).

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

101101109999968 is a wasteful number, since it uses less digits than its factorization.

101101109999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243031514446 (or 243031514438 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 64.

The spelling of 101101109999968 in words is "one hundred one trillion, one hundred one billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".