100110020020120 has 256 divisors, whose sum is σ = 266049389445120. Its totient is φ = 33547878604800.

The previous prime is 100110020020039. The next prime is 100110020020121. The reversal of 100110020020120 is 21020020011001.

It is a super-2 number, since 2×100110020020120² (a number of 29 digits) contains 22 as substring.

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 = 100110020020097 and 100110020020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110020020121) 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 63 ways as a sum of consecutive naturals, for example, 21609712 + ... + 25830208.

It is an arithmetic number, because the mean of its divisors is an integer number (1039255427520).

Almost surely, 2^{100110020020120} is an apocalyptic number.

100110020020120 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 100110020020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133024694722560).

100110020020120 is an abundant number, since it is smaller than the sum of its proper divisors (165939369425000).

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

100110020020120 is a wasteful number, since it uses less digits than its factorization.

100110020020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220634 (or 4220630 counting only the distinct ones).

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

Adding to 100110020020120 its reverse (21020020011001), we get a palindrome (121130040031121).

The spelling of 100110020020120 in words is "one hundred trillion, one hundred ten billion, twenty million, twenty thousand, one hundred twenty".