120220100200 has 96 divisors (see below), whose sum is σ = 296196053400. Its totient is φ = 45222256640.

The previous prime is 120220100197. The next prime is 120220100233. The reversal of 120220100200 is 2001022021.

It can be written as a sum of positive squares in 12 ways, for example, as 6053151204 + 114166948996 = 77802^2 + 337886^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4327956 + ... + 4355644.

Almost surely, 2^120220100200 is an apocalyptic number.

120220100200 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 120220100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148098026700).

120220100200 is an abundant number, since it is smaller than the sum of its proper divisors (175975953200).

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

120220100200 is a wasteful number, since it uses less digits than its factorization.

120220100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28999 (or 28990 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120220100200 its reverse (2001022021), we get a palindrome (122221122221).

The spelling of 120220100200 in words is "one hundred twenty billion, two hundred twenty million, one hundred thousand, two hundred".