102200210020 has 24 divisors (see below), whose sum is σ = 227245173624. Its totient is φ = 38475373056.

The previous prime is 102200209987. The next prime is 102200210027. The reversal of 102200210020 is 20012002201.

It can be written as a sum of positive squares in 4 ways, for example, as 13182713856 + 89017496164 = 114816^2 + 298358^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102200209979 and 102200210006.

It is not an unprimeable number, because it can be changed into a prime (102200210027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150294087 + ... + 150294766.

It is an arithmetic number, because the mean of its divisors is an integer number (9468548901).

Almost surely, 2^102200210020 is an apocalyptic number.

102200210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200210020 is an abundant number, since it is smaller than the sum of its proper divisors (125044963604).

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

102200210020 is a wasteful number, since it uses less digits than its factorization.

102200210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300588879 (or 300588877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102200210020 its reverse (20012002201), we get a palindrome (122212212221).

The spelling of 102200210020 in words is "one hundred two billion, two hundred million, two hundred ten thousand, twenty".