223111320100 has 36 divisors (see below), whose sum is σ = 512631072324. Its totient is φ = 83994849280.

The previous prime is 223111320079. The next prime is 223111320137. The reversal of 223111320100 is 1023111322.

It can be written as a sum of positive squares in 6 ways, for example, as 17697513024 + 205413807076 = 133032^2 + 453226^2 .

It is a super-3 number, since 3×223111320100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65619277 + ... + 65622676.

It is an arithmetic number, because the mean of its divisors is an integer number (14239752009).

Almost surely, 2^223111320100 is an apocalyptic number.

223111320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223111320100 is an abundant number, since it is smaller than the sum of its proper divisors (289519752224).

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

223111320100 is a wasteful number, since it uses less digits than its factorization.

223111320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131241984 (or 131241977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 223111320100 its reverse (1023111322), we get a palindrome (224134431422).

The spelling of 223111320100 in words is "two hundred twenty-three billion, one hundred eleven million, three hundred twenty thousand, one hundred".