220101011200 has 216 divisors, whose sum is σ = 624110054400. Its totient is φ = 75281510400.

The previous prime is 220101011101. The next prime is 220101011213. The reversal of 220101011200 is 2110101022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19303101 + ... + 19314499.

It is an arithmetic number, because the mean of its divisors is an integer number (2889398400).

Almost surely, 2^220101011200 is an apocalyptic number.

220101011200 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 220101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312055027200).

220101011200 is an abundant number, since it is smaller than the sum of its proper divisors (404009043200).

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

220101011200 is a wasteful number, since it uses less digits than its factorization.

220101011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220101011200 its reverse (2110101022), we get a palindrome (222211112222).

The spelling of 220101011200 in words is "two hundred twenty billion, one hundred one million, eleven thousand, two hundred".