1020212000200 has 192 divisors, whose sum is σ = 2525409792000. Its totient is φ = 381962096640.

The previous prime is 1020212000191. The next prime is 1020212000209. The reversal of 1020212000200 is 20002120201.

It is an interprime number because it is at equal distance from previous prime (1020212000191) and next prime (1020212000209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020212000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797663161 + ... + 797664439.

It is an arithmetic number, because the mean of its divisors is an integer number (13153176000).

Almost surely, 2^{1020212000200} is an apocalyptic number.

1020212000200 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 1020212000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262704896000).

1020212000200 is an abundant number, since it is smaller than the sum of its proper divisors (1505197791800).

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

1020212000200 is a wasteful number, since it uses less digits than its factorization.

1020212000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020212000200 its reverse (20002120201), we get a palindrome (1040214120401).

The spelling of 1020212000200 in words is "one trillion, twenty billion, two hundred twelve million, two hundred", and thus it is an aban number.