100759132002144 has 192 divisors, whose sum is σ = 349154639672832. Its totient is φ = 24631720550400.

The previous prime is 100759132002143. The next prime is 100759132002149. The reversal of 100759132002144 is 441200231957001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100759132002143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400781247 + ... + 401032574.

It is an arithmetic number, because the mean of its divisors is an integer number (1818513748296).

Almost surely, 2^{100759132002144} is an apocalyptic number.

100759132002144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100759132002144 is an abundant number, since it is smaller than the sum of its proper divisors (248395507670688).

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

100759132002144 is a wasteful number, since it uses less digits than its factorization.

100759132002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801813869 (or 801813861 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 100759132002144 its reverse (441200231957001), we get a palindrome (541959363959145).

The spelling of 100759132002144 in words is "one hundred trillion, seven hundred fifty-nine billion, one hundred thirty-two million, two thousand, one hundred forty-four".