220110022001100 has 288 divisors, whose sum is σ = 794057393074176. Its totient is φ = 45733661625600.

The previous prime is 220110022001003. The next prime is 220110022001123. The reversal of 220110022001100 is 1100220011022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308421279 + ... + 309134121.

It is an arithmetic number, because the mean of its divisors is an integer number (2757143725952).

Almost surely, 2^{220110022001100} is an apocalyptic number.

220110022001100 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 220110022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397028696537088).

220110022001100 is an abundant number, since it is smaller than the sum of its proper divisors (573947371073076).

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

220110022001100 is a wasteful number, since it uses less digits than its factorization.

220110022001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726245 (or 726238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220110022001100 its reverse (1100220011022), we get a palindrome (221210242012122).

It can be divided in two parts, 2 and 20110022001100, that added together give a palindrome (20110022001102).

The spelling of 220110022001100 in words is "two hundred twenty trillion, one hundred ten billion, twenty-two million, one thousand, one hundred".