102112220120200 has 24 divisors (see below), whose sum is σ = 237410911779930. Its totient is φ = 40844888048000.

The previous prime is 102112220120179. The next prime is 102112220120201. The reversal of 102112220120200 is 2021022211201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 81918754606404 + 20193465513796 = 9050898^2 + 4493714^2 .

It is not an unprimeable number, because it can be changed into a prime (102112220120201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255280550101 + ... + 255280550500.

Almost surely, 2^{102112220120200} is an apocalyptic number.

102112220120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112220120200 is an abundant number, since it is smaller than the sum of its proper divisors (135298691659730).

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

102112220120200 is a wasteful number, since it uses less digits than its factorization.

102112220120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510561100617 (or 510561100608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102112220120200 its reverse (2021022211201), we get a palindrome (104133242331401).

The spelling of 102112220120200 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, one hundred twenty thousand, two hundred".