200102102000 has 80 divisors (see below), whose sum is σ = 489971913600. Its totient is φ = 79027603200.

The previous prime is 200102101981. The next prime is 200102102029. The reversal of 200102102000 is 201201002.

200102102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475235 + ... + 791234.

It is an arithmetic number, because the mean of its divisors is an integer number (6124648920).

Almost surely, 2^200102102000 is an apocalyptic number.

200102102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102102000 is an abundant number, since it is smaller than the sum of its proper divisors (289869811600).

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

200102102000 is a wasteful number, since it uses less digits than its factorization.

200102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266571 (or 1266555 counting only the distinct ones).

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

Adding to 200102102000 its reverse (201201002), we get a palindrome (200303303002).

The spelling of 200102102000 in words is "two hundred billion, one hundred two million, one hundred two thousand".