120212221020100 has 288 divisors, whose sum is σ = 293458779436032. Its totient is φ = 42375859200000.

The previous prime is 120212221020079. The next prime is 120212221020107. The reversal of 120212221020100 is 1020122212021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120212221020107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1111057005 + ... + 1111165195.

It is an arithmetic number, because the mean of its divisors is an integer number (1018954095264).

Almost surely, 2^{120212221020100} is an apocalyptic number.

120212221020100 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 120212221020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146729389718016).

120212221020100 is an abundant number, since it is smaller than the sum of its proper divisors (173246558415932).

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

120212221020100 is a wasteful number, since it uses less digits than its factorization.

120212221020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108527 (or 108520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120212221020100 its reverse (1020122212021), we get a palindrome (121232343232121).

It can be divided in two parts, 1202122 and 21020100, that added together give a palindrome (22222222).

The spelling of 120212221020100 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred twenty-one million, twenty thousand, one hundred".