223222232010100 has 144 divisors (see below), whose sum is σ = 488866704028416. Its totient is φ = 88468070400000.

The previous prime is 223222232010091. The next prime is 223222232010103. The reversal of 223222232010100 is 1010232222322.

223222232010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223222232010100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223222232010103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20926424967 + ... + 20926435633.

It is an arithmetic number, because the mean of its divisors is an integer number (3394907666864).

Almost surely, 2^{223222232010100} is an apocalyptic number.

223222232010100 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 223222232010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244433352014208).

223222232010100 is an abundant number, since it is smaller than the sum of its proper divisors (265644472018316).

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

223222232010100 is a wasteful number, since it uses less digits than its factorization.

223222232010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15146 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 223222232010100 its reverse (1010232222322), we get a palindrome (224232464232422).

The spelling of 223222232010100 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, two hundred thirty-two million, ten thousand, one hundred".