1012201000200 has 288 divisors, whose sum is σ = 3669323898240. Its totient is φ = 248576601600.

The previous prime is 1012201000141. The next prime is 1012201000211. The reversal of 1012201000200 is 20001022101.

1012201000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10035219 + ... + 10135581.

It is an arithmetic number, because the mean of its divisors is an integer number (12740707980).

Almost surely, 2^{1012201000200} is an apocalyptic number.

1012201000200 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 1012201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834661949120).

1012201000200 is an abundant number, since it is smaller than the sum of its proper divisors (2657122898040).

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

1012201000200 is a wasteful number, since it uses less digits than its factorization.

1012201000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100829 (or 100817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012201000200 its reverse (20001022101), we get a palindrome (1032202022301).

The spelling of 1012201000200 in words is "one trillion, twelve billion, two hundred one million, two hundred", and thus it is an aban number.