102200200112020 has 12 divisors (see below), whose sum is σ = 214620420235284. Its totient is φ = 40880080044800.

The previous prime is 102200200111991. The next prime is 102200200112029. The reversal of 102200200112020 is 20211002002201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60986291034384 + 41213909077636 = 7809372^2 + 6419806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200200112029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555005002781 + ... + 2555005002820.

It is an arithmetic number, because the mean of its divisors is an integer number (17885035019607).

Almost surely, 2^{102200200112020} is an apocalyptic number.

102200200112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200200112020 is an abundant number, since it is smaller than the sum of its proper divisors (112420220123264).

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

102200200112020 is a wasteful number, since it uses less digits than its factorization.

102200200112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110010005610 (or 5110010005608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200200112020 its reverse (20211002002201), we get a palindrome (122411202114221).

The spelling of 102200200112020 in words is "one hundred two trillion, two hundred billion, two hundred million, one hundred twelve thousand, twenty".