222311113300100 has 216 divisors, whose sum is σ = 543848974187904. Its totient is φ = 78777113184000.

The previous prime is 222311113300099. The next prime is 222311113300109. The reversal of 222311113300100 is 1003311113222.

It is a happy number.

It is a super-3 number, since 3×222311113300100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (222311113300109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223753622 + ... + 224744978.

It is an arithmetic number, because the mean of its divisors is an integer number (2517819324944).

Almost surely, 2^{222311113300100} is an apocalyptic number.

222311113300100 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 222311113300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271924487093952).

222311113300100 is an abundant number, since it is smaller than the sum of its proper divisors (321537860887804).

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

222311113300100 is a wasteful number, since it uses less digits than its factorization.

222311113300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991867 (or 991849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 222311113300100 its reverse (1003311113222), we get a palindrome (223314424413322).

The spelling of 222311113300100 in words is "two hundred twenty-two trillion, three hundred eleven billion, one hundred thirteen million, three hundred thousand, one hundred".