120100022221300 has 144 divisors (see below), whose sum is σ = 289099857674880. Its totient is φ = 42937532352000.

The previous prime is 120100022221273. The next prime is 120100022221303. The reversal of 120100022221300 is 3122220001021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100022221303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149702641 + ... + 150502759.

It is an arithmetic number, because the mean of its divisors is an integer number (2007637900520).

Almost surely, 2^{120100022221300} is an apocalyptic number.

120100022221300 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 120100022221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144549928837440).

120100022221300 is an abundant number, since it is smaller than the sum of its proper divisors (168999835453580).

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

120100022221300 is a wasteful number, since it uses less digits than its factorization.

120100022221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802442 (or 802435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120100022221300 its reverse (3122220001021), we get a palindrome (123222242222321).

The spelling of 120100022221300 in words is "one hundred twenty trillion, one hundred billion, twenty-two million, two hundred twenty-one thousand, three hundred".