100112100012120 has 384 divisors, whose sum is σ = 362296956902400. Its totient is φ = 22048149279744.

The previous prime is 100112100012109. The next prime is 100112100012143. The reversal of 100112100012120 is 21210001211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112100012096 and 100112100012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20174901 + ... + 24642459.

It is an arithmetic number, because the mean of its divisors is an integer number (943481658600).

Almost surely, 2^{100112100012120} is an apocalyptic number.

100112100012120 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 100112100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181148478451200).

100112100012120 is an abundant number, since it is smaller than the sum of its proper divisors (262184856890280).

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

100112100012120 is a wasteful number, since it uses less digits than its factorization.

100112100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467727 (or 4467716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112100012120 its reverse (21210001211001), we get a palindrome (121322101223121).

The spelling of 100112100012120 in words is "one hundred trillion, one hundred twelve billion, one hundred million, twelve thousand, one hundred twenty".