10171114100 has 144 divisors (see below), whose sum is σ = 25613110656. Its totient is φ = 3433920000.

The previous prime is 10171114061. The next prime is 10171114103. The reversal of 10171114100 is 141117101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10171114103) 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 47 ways as a sum of consecutive naturals, for example, 20714855 + ... + 20715345.

It is an arithmetic number, because the mean of its divisors is an integer number (177868824).

Almost surely, 2^10171114100 is an apocalyptic number.

10171114100 is a gapful number since it is divisible by the number (10) 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 10171114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806555328).

10171114100 is an abundant number, since it is smaller than the sum of its proper divisors (15441996556).

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

10171114100 is a wasteful number, since it uses less digits than its factorization.

10171114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 17.

The spelling of 10171114100 in words is "ten billion, one hundred seventy-one million, one hundred fourteen thousand, one hundred".