102200122220 has 96 divisors (see below), whose sum is σ = 253099728000. Its totient is φ = 34646126592.

The previous prime is 102200122201. The next prime is 102200122237. The reversal of 102200122220 is 22221002201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102200122195 and 102200122204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526844 + ... + 694236.

It is an arithmetic number, because the mean of its divisors is an integer number (2636455500).

Almost surely, 2^102200122220 is an apocalyptic number.

102200122220 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 102200122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126549864000).

102200122220 is an abundant number, since it is smaller than the sum of its proper divisors (150899605780).

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

102200122220 is a wasteful number, since it uses less digits than its factorization.

102200122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167512 (or 167496 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102200122220 its reverse (22221002201), we get a palindrome (124421124421).

The spelling of 102200122220 in words is "one hundred two billion, two hundred million, one hundred twenty-two thousand, two hundred twenty".