102200112222020 has 12 divisors (see below), whose sum is σ = 214620235666284. Its totient is φ = 40880044888800.

The previous prime is 102200112221897. The next prime is 102200112222053. The reversal of 102200112222020 is 20222211002201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69559069483264 + 32641042738756 = 8340208^2 + 5713234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102200112222020.

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 3 ways as a sum of consecutive naturals, for example, 2555002805531 + ... + 2555002805570.

It is an arithmetic number, because the mean of its divisors is an integer number (17885019638857).

Almost surely, 2^{102200112222020} is an apocalyptic number.

102200112222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200112222020 is an abundant number, since it is smaller than the sum of its proper divisors (112420123444264).

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

102200112222020 is a wasteful number, since it uses less digits than its factorization.

102200112222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110005611110 (or 5110005611108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102200112222020 its reverse (20222211002201), we get a palindrome (122422323224221).

The spelling of 102200112222020 in words is "one hundred two trillion, two hundred billion, one hundred twelve million, two hundred twenty-two thousand, twenty".