102223032110100 has 360 divisors, whose sum is σ = 363042466795008. Its totient is φ = 24674978419200.

The previous prime is 102223032110099. The next prime is 102223032110123. The reversal of 102223032110100 is 1011230322201.

102223032110100 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 230 + 321 + 10 + 100 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18298317 + ... + 23222283.

Almost surely, 2^{102223032110100} is an apocalyptic number.

102223032110100 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 102223032110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181521233397504).

102223032110100 is an abundant number, since it is smaller than the sum of its proper divisors (260819434684908).

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

102223032110100 is a wasteful number, since it uses less digits than its factorization.

102223032110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924237 (or 4924221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102223032110100 its reverse (1011230322201), we get a palindrome (103234262432301).

The spelling of 102223032110100 in words is "one hundred two trillion, two hundred twenty-three billion, thirty-two million, one hundred ten thousand, one hundred".