100129278172 has 96 divisors (see below), whose sum is σ = 220164811776. Its totient is φ = 38708544000.

The previous prime is 100129278167. The next prime is 100129278173. The reversal of 100129278172 is 271872921001.

It is a super-3 number, since 3×100129278172³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100129278173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36055248 + ... + 36058024.

It is an arithmetic number, because the mean of its divisors is an integer number (2293383456).

Almost surely, 2^100129278172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100129278172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110082405888).

100129278172 is an abundant number, since it is smaller than the sum of its proper divisors (120035533604).

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

100129278172 is a wasteful number, since it uses less digits than its factorization.

100129278172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 100129278172 in words is "one hundred billion, one hundred twenty-nine million, two hundred seventy-eight thousand, one hundred seventy-two".