120120201011100 has 288 divisors, whose sum is σ = 352118115498240. Its totient is φ = 31612259543040.

The previous prime is 120120201011077. The next prime is 120120201011131. The reversal of 120120201011100 is 1110102021021.

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, 59260088287 + ... + 59260090313.

It is an arithmetic number, because the mean of its divisors is an integer number (1222632345480).

Almost surely, 2^{120120201011100} is an apocalyptic number.

120120201011100 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 120120201011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176059057749120).

120120201011100 is an abundant number, since it is smaller than the sum of its proper divisors (231997914487140).

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

120120201011100 is a wasteful number, since it uses less digits than its factorization.

120120201011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5230 counting only the distinct ones).

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

Adding to 120120201011100 its reverse (1110102021021), we get a palindrome (121230303032121).

The spelling of 120120201011100 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred one million, eleven thousand, one hundred".