101122959168 has 896 divisors, whose sum is σ = 389753856000. Its totient is φ = 24942919680.

The previous prime is 101122959167. The next prime is 101122959257. The reversal of 101122959168 is 861959221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122959163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281679373 + ... + 281679731.

Almost surely, 2^101122959168 is an apocalyptic number.

101122959168 is a gapful number since it is divisible by the number (18) 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 101122959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194876928000).

101122959168 is an abundant number, since it is smaller than the sum of its proper divisors (288630896832).

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

101122959168 is a wasteful number, since it uses less digits than its factorization.

101122959168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 101122959168 in words is "one hundred one billion, one hundred twenty-two million, nine hundred fifty-nine thousand, one hundred sixty-eight".