220201201000 has 256 divisors, whose sum is σ = 577886400000. Its totient is φ = 77840640000.

The previous prime is 220201200971. The next prime is 220201201037. The reversal of 220201201000 is 102102022.

It is a super-3 number, since 3×220201201000³ (a number of 35 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 157398301 + ... + 157399699.

It is an arithmetic number, because the mean of its divisors is an integer number (2257368750).

Almost surely, 2^220201201000 is an apocalyptic number.

220201201000 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 220201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288943200000).

220201201000 is an abundant number, since it is smaller than the sum of its proper divisors (357685199000).

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

220201201000 is a wasteful number, since it uses less digits than its factorization.

220201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1807 counting only the distinct ones).

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

Adding to 220201201000 its reverse (102102022), we get a palindrome (220303303022).

It can be divided in two parts, 220201 and 201000, that added together give a square (421201 = 649²).

The spelling of 220201201000 in words is "two hundred twenty billion, two hundred one million, two hundred one thousand".