120110220011100 has 288 divisors, whose sum is σ = 399884305766400. Its totient is φ = 27528472339200.

The previous prime is 120110220011099. The next prime is 120110220011141. The reversal of 120110220011100 is 1110022011021.

120110220011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120110220011100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28568131 + ... + 32501669.

It is an arithmetic number, because the mean of its divisors is an integer number (1388487172800).

Almost surely, 2^{120110220011100} is an apocalyptic number.

120110220011100 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 120110220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199942152883200).

120110220011100 is an abundant number, since it is smaller than the sum of its proper divisors (279774085755300).

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

120110220011100 is a wasteful number, since it uses less digits than its factorization.

120110220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934073 (or 3934066 counting only the distinct ones).

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

Adding to 120110220011100 its reverse (1110022011021), we get a palindrome (121220242022121).

The spelling of 120110220011100 in words is "one hundred twenty trillion, one hundred ten billion, two hundred twenty million, eleven thousand, one hundred".