102223203120 has 80 divisors (see below), whose sum is σ = 352102151520. Its totient is φ = 27259520256.

The previous prime is 102223203119. The next prime is 102223203169. The reversal of 102223203120 is 21302322201.

102223203120 is a `hidden beast` number, since 1 + 0 + 222 + 320 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102223203120² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102223203093 and 102223203102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23660619 + ... + 23664938.

It is an arithmetic number, because the mean of its divisors is an integer number (4401276894).

Almost surely, 2^102223203120 is an apocalyptic number.

102223203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223203120 is an abundant number, since it is smaller than the sum of its proper divisors (249878948400).

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

102223203120 is a wasteful number, since it uses less digits than its factorization.

102223203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47325579 (or 47325567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102223203120 its reverse (21302322201), we get a palindrome (123525525321).

The spelling of 102223203120 in words is "one hundred two billion, two hundred twenty-three million, two hundred three thousand, one hundred twenty".