100116014218920 has 768 divisors, whose sum is σ = 382421362752000. Its totient is φ = 22239262015488.

The previous prime is 100116014218861. The next prime is 100116014218931. The reversal of 100116014218920 is 29812410611001.

100116014218920 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 601 + 4 + 21 + 8 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35896740886 + ... + 35896743674.

It is an arithmetic number, because the mean of its divisors is an integer number (497944482750).

Almost surely, 2^{100116014218920} is an apocalyptic number.

100116014218920 is a gapful number since it is divisible by the number (10) 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 100116014218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191210681376000).

100116014218920 is an abundant number, since it is smaller than the sum of its proper divisors (282305348533080).

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

100116014218920 is a wasteful number, since it uses less digits than its factorization.

100116014218920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 100116014218920 its reverse (29812410611001), we get a palindrome (129928424829921).

The spelling of 100116014218920 in words is "one hundred trillion, one hundred sixteen billion, fourteen million, two hundred eighteen thousand, nine hundred twenty".