100100020021120 has 512 divisors, whose sum is σ = 282109255142400. Its totient is φ = 33255058636800.

The previous prime is 100100020021103. The next prime is 100100020021223. The reversal of 100100020021120 is 21120020001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100100020021097 and 100100020021106.

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 63 ways as a sum of consecutive naturals, for example, 22209897907 + ... + 22209902413.

It is an arithmetic number, because the mean of its divisors is an integer number (550994638950).

Almost surely, 2^{100100020021120} is an apocalyptic number.

100100020021120 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 100100020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141054627571200).

100100020021120 is an abundant number, since it is smaller than the sum of its proper divisors (182009235121280).

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

100100020021120 is a wasteful number, since it uses less digits than its factorization.

100100020021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100020021120 its reverse (21120020001001), we get a palindrome (121220040022121).

The spelling of 100100020021120 in words is "one hundred trillion, one hundred billion, twenty million, twenty-one thousand, one hundred twenty".