100172205012 has 96 divisors (see below), whose sum is σ = 268175867904. Its totient is φ = 28821686400.

The previous prime is 100172205011. The next prime is 100172205019. The reversal of 100172205012 is 210502271001.

It is a self number, because there is not a number n which added to its sum of digits gives 100172205012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100172205011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14068 + ... + 447819.

It is an arithmetic number, because the mean of its divisors is an integer number (2793498624).

Almost surely, 2^100172205012 is an apocalyptic number.

100172205012 is a gapful number since it is divisible by the number (12) 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 100172205012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134087933952).

100172205012 is an abundant number, since it is smaller than the sum of its proper divisors (168003662892).

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

100172205012 is a wasteful number, since it uses less digits than its factorization.

100172205012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461989 (or 461987 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 100172205012 its reverse (210502271001), we get a palindrome (310674476013).

The spelling of 100172205012 in words is "one hundred billion, one hundred seventy-two million, two hundred five thousand, twelve".