100110419712 has 216 divisors, whose sum is σ = 303211603968. Its totient is φ = 31705344000.

The previous prime is 100110419701. The next prime is 100110419719. The reversal of 100110419712 is 217914011001.

It is a super-2 number, since 2×100110419712² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110419719) 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 23 ways as a sum of consecutive naturals, for example, 7995537 + ... + 8008047.

Almost surely, 2^100110419712 is an apocalyptic number.

100110419712 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 100110419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151605801984).

100110419712 is an abundant number, since it is smaller than the sum of its proper divisors (203101184256).

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

100110419712 is a wasteful number, since it uses less digits than its factorization.

100110419712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 100110419712 in words is "one hundred billion, one hundred ten million, four hundred nineteen thousand, seven hundred twelve".