220301132100000 has 576 divisors, whose sum is σ = 827590882793472. Its totient is φ = 50262226560000.

The previous prime is 220301132099977. The next prime is 220301132100011. The reversal of 220301132100000 is 1231103022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148604109 + ... + 1148795891.

It is an arithmetic number, because the mean of its divisors is an integer number (1436789727072).

Almost surely, 2^{220301132100000} is an apocalyptic number.

220301132100000 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 220301132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413795441396736).

220301132100000 is an abundant number, since it is smaller than the sum of its proper divisors (607289750693472).

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

220301132100000 is an equidigital number, since it uses as much as digits as its factorization.

220301132100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192375 (or 192347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220301132100000 its reverse (1231103022), we get a palindrome (220302363203022).

The spelling of 220301132100000 in words is "two hundred twenty trillion, three hundred one billion, one hundred thirty-two million, one hundred thousand".