20120120220100 has 72 divisors (see below), whose sum is σ = 44129333666880. Its totient is φ = 7961885089920.

The previous prime is 20120120220073. The next prime is 20120120220103. The reversal of 20120120220100 is 102202102102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20120120220103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5625807 + ... + 8478793.

It is an arithmetic number, because the mean of its divisors is an integer number (612907412040).

Almost surely, 2^{20120120220100} is an apocalyptic number.

20120120220100 is a gapful number since it is divisible by the number (20) 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 20120120220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064666833440).

20120120220100 is an abundant number, since it is smaller than the sum of its proper divisors (24009213446780).

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

20120120220100 is a wasteful number, since it uses less digits than its factorization.

20120120220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853757 (or 2853750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20120120220100 its reverse (102202102102), we get a palindrome (20222322322202).

The spelling of 20120120220100 in words is "twenty trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty thousand, one hundred".