100120020120120 has 512 divisors, whose sum is σ = 406980516096000. Its totient is φ = 19027655516160.

The previous prime is 100120020120079. The next prime is 100120020120137. The reversal of 100120020120120 is 21021020021001.

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 = 100120020120096 and 100120020120105.

It is a congruent number.

It is an unprimeable number.

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, 9269686 + ... + 16916474.

It is an arithmetic number, because the mean of its divisors is an integer number (794883820500).

Almost surely, 2^{100120020120120} is an apocalyptic number.

100120020120120 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 100120020120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203490258048000).

100120020120120 is an abundant number, since it is smaller than the sum of its proper divisors (306860495975880).

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

100120020120120 is a wasteful number, since it uses less digits than its factorization.

100120020120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646943 (or 7646939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120020120120 its reverse (21021020021001), we get a palindrome (121141040141121).

The spelling of 100120020120120 in words is "one hundred trillion, one hundred twenty billion, twenty million, one hundred twenty thousand, one hundred twenty".