100131221110104 has 192 divisors, whose sum is σ = 283802313537600. Its totient is φ = 31864646827008.

The previous prime is 100131221110103. The next prime is 100131221110121. The reversal of 100131221110104 is 401011122131001.

100131221110104 is a `hidden beast` number, since 100 + 131 + 221 + 110 + 104 = 666.

It is a super-3 number, since 3×100131221110104³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131221110103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28234782 + ... + 31582674.

It is an arithmetic number, because the mean of its divisors is an integer number (1478137049675).

Almost surely, 2^{100131221110104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131221110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141901156768800).

100131221110104 is an abundant number, since it is smaller than the sum of its proper divisors (183671092427496).

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

100131221110104 is a wasteful number, since it uses less digits than its factorization.

100131221110104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348154 (or 3348147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100131221110104 its reverse (401011122131001), we get a palindrome (501142343241105).

The spelling of 100131221110104 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred four".