100111200012120 has 512 divisors, whose sum is σ = 351875856844800. Its totient is φ = 22516740096000.

The previous prime is 100111200012077. The next prime is 100111200012121. The reversal of 100111200012120 is 21210002111001.

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 = 100111200012096 and 100111200012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111200012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 518918317 + ... + 519111203.

It is an arithmetic number, because the mean of its divisors is an integer number (687257532900).

Almost surely, 2^{100111200012120} is an apocalyptic number.

100111200012120 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 100111200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175937928422400).

100111200012120 is an abundant number, since it is smaller than the sum of its proper divisors (251764656832680).

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

100111200012120 is a wasteful number, since it uses less digits than its factorization.

100111200012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193259 (or 193255 counting only the distinct ones).

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

Adding to 100111200012120 its reverse (21210002111001), we get a palindrome (121321202123121).

The spelling of 100111200012120 in words is "one hundred trillion, one hundred eleven billion, two hundred million, twelve thousand, one hundred twenty".