100100678172 has 72 divisors (see below), whose sum is σ = 256852368528. Its totient is φ = 30319322880.

The previous prime is 100100678141. The next prime is 100100678203. The reversal of 100100678172 is 271876001001.

It is an interprime number because it is at equal distance from previous prime (100100678141) and next prime (100100678203).

It is a super-3 number, since 3×100100678172³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3320238 + ... + 3350250.

Almost surely, 2^100100678172 is an apocalyptic number.

100100678172 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 100100678172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128426184264).

100100678172 is an abundant number, since it is smaller than the sum of its proper divisors (156751690356).

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

100100678172 is a wasteful number, since it uses less digits than its factorization.

100100678172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32339 (or 32326 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

Adding to 100100678172 its reverse (271876001001), we get a palindrome (371976679173).

The spelling of 100100678172 in words is "one hundred billion, one hundred million, six hundred seventy-eight thousand, one hundred seventy-two".