1020200002000 has 160 divisors (see below), whose sum is σ = 2477316441600. Its totient is φ = 406351872000.

The previous prime is 1020200001979. The next prime is 1020200002057. The reversal of 1020200002000 is 2000020201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675181245 + ... + 675182755.

It is an arithmetic number, because the mean of its divisors is an integer number (15483227760).

Almost surely, 2^{1020200002000} is an apocalyptic number.

1020200002000 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 1020200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238658220800).

1020200002000 is an abundant number, since it is smaller than the sum of its proper divisors (1457116439600).

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

1020200002000 is a wasteful number, since it uses less digits than its factorization.

1020200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 1020200002000 its reverse (2000020201), we get a palindrome (1022200022201).

The spelling of 1020200002000 in words is "one trillion, twenty billion, two hundred million, two thousand".