100110287141472 has 384 divisors, whose sum is σ = 282651197552640. Its totient is φ = 30943758827520.

The previous prime is 100110287141453. The next prime is 100110287141477. The reversal of 100110287141472 is 274141782011001.

It is a self number, because there is not a number n which added to its sum of digits gives 100110287141472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110287141477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29332048438 + ... + 29332051850.

It is an arithmetic number, because the mean of its divisors is an integer number (736070826960).

Almost surely, 2^{100110287141472} is an apocalyptic number.

100110287141472 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 100110287141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141325598776320).

100110287141472 is an abundant number, since it is smaller than the sum of its proper divisors (182540910411168).

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

100110287141472 is a wasteful number, since it uses less digits than its factorization.

100110287141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The spelling of 100110287141472 in words is "one hundred trillion, one hundred ten billion, two hundred eighty-seven million, one hundred forty-one thousand, four hundred seventy-two".