120100220100 has 864 divisors, whose sum is σ = 485181446400. Its totient is φ = 25333862400.

The previous prime is 120100220081. The next prime is 120100220111. The reversal of 120100220100 is 1022001021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88243420 + ... + 88244780.

It is an arithmetic number, because the mean of its divisors is an integer number (561552600).

Almost surely, 2^120100220100 is an apocalyptic number.

120100220100 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 120100220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242590723200).

120100220100 is an abundant number, since it is smaller than the sum of its proper divisors (365081226300).

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

120100220100 is a wasteful number, since it uses less digits than its factorization.

120100220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1430 counting only the distinct ones).

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

Adding to 120100220100 its reverse (1022001021), we get a palindrome (121122221121).

The spelling of 120100220100 in words is "one hundred twenty billion, one hundred million, two hundred twenty thousand, one hundred".