120201020100 has 216 divisors, whose sum is σ = 436039036160. Its totient is φ = 27126627840.

The previous prime is 120201020099. The next prime is 120201020227. The reversal of 120201020100 is 1020102021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376944 + ... + 618456.

Almost surely, 2^120201020100 is an apocalyptic number.

120201020100 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 120201020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218019518080).

120201020100 is an abundant number, since it is smaller than the sum of its proper divisors (315838016060).

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

120201020100 is a wasteful number, since it uses less digits than its factorization.

120201020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241619 (or 241609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120201020100 its reverse (1020102021), we get a palindrome (121221122121).

The spelling of 120201020100 in words is "one hundred twenty billion, two hundred one million, twenty thousand, one hundred".