1012200022100 has 72 divisors (see below), whose sum is σ = 2208494590008. Its totient is φ = 402665472000.

The previous prime is 1012200022013. The next prime is 1012200022121. The reversal of 1012200022100 is 12200022101.

It is a happy number.

1012200022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 42711662224 + 969488359876 = 206668^2 + 984626^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102227150 + ... + 102237050.

Almost surely, 2^{1012200022100} is an apocalyptic number.

1012200022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012200022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104247295004).

1012200022100 is an abundant number, since it is smaller than the sum of its proper divisors (1196294567908).

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

1012200022100 is a wasteful number, since it uses less digits than its factorization.

1012200022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15405 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012200022100 its reverse (12200022101), we get a palindrome (1024400044201).

Subtracting from 1012200022100 its reverse (12200022101), we obtain a palindrome (999999999999).

The spelling of 1012200022100 in words is "one trillion, twelve billion, two hundred million, twenty-two thousand, one hundred".