220101022000 has 80 divisors (see below), whose sum is σ = 532308733632. Its totient is φ = 88023129600.

The previous prime is 220101021967. The next prime is 220101022013. The reversal of 220101022000 is 220101022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16459317 + ... + 16472683.

Almost surely, 2^220101022000 is an apocalyptic number.

220101022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101022000 is an abundant number, since it is smaller than the sum of its proper divisors (312207711632).

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

220101022000 is a wasteful number, since it uses less digits than its factorization.

220101022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21623 (or 21607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220101022000 its reverse (220101022), we get a palindrome (220321123022).

220101022000 divided by its reverse (220101022) gives a cube (1000 = 10³).

The spelling of 220101022000 in words is "two hundred twenty billion, one hundred one million, twenty-two thousand".