101101100005968 has 80 divisors (see below), whose sum is σ = 270185992614720. Its totient is φ = 32538041976832.

The previous prime is 101101100005967. The next prime is 101101100006029. The reversal of 101101100005968 is 869500001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100005963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334086055 + ... + 334388537.

It is an arithmetic number, because the mean of its divisors is an integer number (3377324907684).

Almost surely, 2^{101101100005968} is an apocalyptic number.

It is an amenable number.

101101100005968 is an abundant number, since it is smaller than the sum of its proper divisors (169084892608752).

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

101101100005968 is a wasteful number, since it uses less digits than its factorization.

101101100005968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542636 (or 542630 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 33.

The spelling of 101101100005968 in words is "one hundred one trillion, one hundred one billion, one hundred million, five thousand, nine hundred sixty-eight".