330101121002220 has 72 divisors (see below), whose sum is σ = 1001308999004496. Its totient is φ = 88026766453632.

The previous prime is 330101121002197. The next prime is 330101121002243. The reversal of 330101121002220 is 22200121101033.

330101121002220 is a `hidden beast` number, since 330 + 1 + 0 + 1 + 12 + 100 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (330101121002197) and next prime (330101121002243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330101121002193 and 330101121002202.

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 23 ways as a sum of consecutive naturals, for example, 88717594 + ... + 92363486.

It is an arithmetic number, because the mean of its divisors is an integer number (13907069430618).

Almost surely, 2^{330101121002220} is an apocalyptic number.

330101121002220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330101121002220 is an abundant number, since it is smaller than the sum of its proper divisors (671207878002276).

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

330101121002220 is a wasteful number, since it uses less digits than its factorization.

330101121002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148911 (or 4148906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 330101121002220 its reverse (22200121101033), we get a palindrome (352301242103253).

The spelling of 330101121002220 in words is "three hundred thirty trillion, one hundred one billion, one hundred twenty-one million, two thousand, two hundred twenty".