1000101168 has 300 divisors, whose sum is σ = 3307571784. Its totient is φ = 289267200.

The previous prime is 1000101139. The next prime is 1000101169. The reversal of 1000101168 is 8611010001.

1000101168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1000101168.

It is not an unprimeable number, because it can be changed into a prime (1000101169) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13699980 + ... + 13700052.

Almost surely, 2^1000101168 is an apocalyptic number.

1000101168 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 1000101168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653785892).

1000101168 is an abundant number, since it is smaller than the sum of its proper divisors (2307470616).

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

1000101168 is a wasteful number, since it uses less digits than its factorization.

1000101168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1000101168 is about 31624.3761677602. The cubic root of 1000101168 is about 1000.0337215295.

Adding to 1000101168 its reverse (8611010001), we get a palindrome (9611111169).

The spelling of 1000101168 in words is "one billion, one hundred one thousand, one hundred sixty-eight".