102223331100 has 288 divisors, whose sum is σ = 359244506880. Its totient is φ = 24730272000.

The previous prime is 102223331051. The next prime is 102223331149. The reversal of 102223331100 is 1133322201.

102223331100 is a `hidden beast` number, since 1 + 0 + 222 + 333 + 110 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102223331051) and next prime (102223331149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15529810 + ... + 15536390.

It is an arithmetic number, because the mean of its divisors is an integer number (1247376760).

Almost surely, 2^102223331100 is an apocalyptic number.

102223331100 is a gapful number since it is divisible by the number (10) 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 102223331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179622253440).

102223331100 is an abundant number, since it is smaller than the sum of its proper divisors (257021175780).

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

102223331100 is a wasteful number, since it uses less digits than its factorization.

102223331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102223331100 its reverse (1133322201), we get a palindrome (103356653301).

The spelling of 102223331100 in words is "one hundred two billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred".