101101179710664 has 256 divisors, whose sum is σ = 322501955328000. Its totient is φ = 28747117728000.

The previous prime is 101101179710581. The next prime is 101101179710669. The reversal of 101101179710664 is 466017971101101.

It is not an unprimeable number, because it can be changed into a prime (101101179710669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460238247 + ... + 460457865.

It is an arithmetic number, because the mean of its divisors is an integer number (1259773263000).

Almost surely, 2^{101101179710664} is an apocalyptic number.

101101179710664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101179710664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161250977664000).

101101179710664 is an abundant number, since it is smaller than the sum of its proper divisors (221400775617336).

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

101101179710664 is a wasteful number, since it uses less digits than its factorization.

101101179710664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221105 (or 221095 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 101101179710664 in words is "one hundred one trillion, one hundred one billion, one hundred seventy-nine million, seven hundred ten thousand, six hundred sixty-four".