102200220332320 has 96 divisors (see below), whose sum is σ = 263410514861760. Its totient is φ = 37161928227840.

The previous prime is 102200220332299. The next prime is 102200220332339. The reversal of 102200220332320 is 23233022002201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102200220332291 and 102200220332300.

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 15 ways as a sum of consecutive naturals, for example, 35466034 + ... + 38239246.

It is an arithmetic number, because the mean of its divisors is an integer number (2743859529810).

Almost surely, 2^{102200220332320} is an apocalyptic number.

102200220332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200220332320 is an abundant number, since it is smaller than the sum of its proper divisors (161210294529440).

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

102200220332320 is a wasteful number, since it uses less digits than its factorization.

102200220332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794178 (or 2794170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 102200220332320 its reverse (23233022002201), we get a palindrome (125433242334521).

The spelling of 102200220332320 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, three hundred thirty-two thousand, three hundred twenty".