102200020 has 24 divisors (see below), whose sum is σ = 231129864. Its totient is φ = 37735296.

The previous prime is 102200011. The next prime is 102200029. The reversal of 102200020 is 20002201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102200011) and next prime (102200029).

It can be written as a sum of positive squares in 4 ways, for example, as 835396 + 101364624 = 914^2 + 10068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102199976 and 102200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200029) 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, 196279 + ... + 196798.

It is an arithmetic number, because the mean of its divisors is an integer number (9630411).

Almost surely, 2^102200020 is an apocalyptic number.

102200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200020 is an abundant number, since it is smaller than the sum of its proper divisors (128929844).

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

102200020 is a wasteful number, since it uses less digits than its factorization.

102200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393099 (or 393097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102200020 is about 10109.4025540583. The cubic root of 102200020 is about 467.5380849181.

Adding to 102200020 its reverse (20002201), we get a palindrome (122202221).

The spelling of 102200020 in words is "one hundred two million, two hundred thousand, twenty".