100333342141144 has 128 divisors (see below), whose sum is σ = 226138262077440. Its totient is φ = 40802263996032.

The previous prime is 100333342141051. The next prime is 100333342141177. The reversal of 100333342141144 is 441141243333001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881588067 + ... + 1881641389.

It is an arithmetic number, because the mean of its divisors is an integer number (1766705172480).

Almost surely, 2^{100333342141144} is an apocalyptic number.

100333342141144 is a gapful number since it is divisible by the number (14) 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 100333342141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113069131038720).

100333342141144 is an abundant number, since it is smaller than the sum of its proper divisors (125804919936296).

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

100333342141144 is a wasteful number, since it uses less digits than its factorization.

100333342141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64989 (or 64985 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 100333342141144 its reverse (441141243333001), we get a palindrome (541474585474145).

The spelling of 100333342141144 in words is "one hundred trillion, three hundred thirty-three billion, three hundred forty-two million, one hundred forty-one thousand, one hundred forty-four".