10171161100 has 72 divisors (see below), whose sum is σ = 23036838048. Its totient is φ = 3894259200.

The previous prime is 10171161071. The next prime is 10171161109. The reversal of 10171161100 is 116117101.

It is a happy number.

It is a super-3 number, since 3×10171161100³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10171161109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193897 + ... + 240703.

It is an arithmetic number, because the mean of its divisors is an integer number (319956084).

Almost surely, 2^10171161100 is an apocalyptic number.

10171161100 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 10171161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518419024).

10171161100 is an abundant number, since it is smaller than the sum of its proper divisors (12865676948).

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

10171161100 is a wasteful number, since it uses less digits than its factorization.

10171161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46915 (or 46908 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 10171161100 its reverse (116117101), we get a palindrome (10287278201).

The spelling of 10171161100 in words is "ten billion, one hundred seventy-one million, one hundred sixty-one thousand, one hundred".