120801861180100 has 81 divisors (see below), whose sum is σ = 263438870409351. Its totient is φ = 48082503772800.

The previous prime is 120801861180071. The next prime is 120801861180101. The reversal of 120801861180100 is 1081168108021.

The square root of 120801861180100 is 10990990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28259154292356 + 92542706887744 = 5315934^2 + 9619912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120801861180100.

It is not an unprimeable number, because it can be changed into a prime (120801861180101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23190986296 + ... + 23190991504.

Almost surely, 2^{120801861180100} is an apocalyptic number.

120801861180100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120801861180100 is the 10990990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120801861180100

120801861180100 is an abundant number, since it is smaller than the sum of its proper divisors (142637009229251).

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

120801861180100 is an frugal number, since it uses more digits than its factorization.

120801861180100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10854 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 37.

The spelling of 120801861180100 in words is "one hundred twenty trillion, eight hundred one billion, eight hundred sixty-one million, one hundred eighty thousand, one hundred".