100100033667072 has 224 divisors, whose sum is σ = 296629064551200. Its totient is φ = 33360549249024.

The previous prime is 100100033667031. The next prime is 100100033667089. The reversal of 100100033667072 is 270766330001001.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 1295436054 + ... + 1295513322.

Almost surely, 2^{100100033667072} is an apocalyptic number.

100100033667072 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 100100033667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148314532275600).

100100033667072 is an abundant number, since it is smaller than the sum of its proper divisors (196529030884128).

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

100100033667072 is an frugal number, since it uses more digits than its factorization.

100100033667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83161 (or 83131 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 100100033667072 its reverse (270766330001001), we get a palindrome (370866363668073).

The spelling of 100100033667072 in words is "one hundred trillion, one hundred billion, thirty-three million, six hundred sixty-seven thousand, seventy-two".