200102021011200 has 864 divisors, whose sum is σ = 838863696287232. Its totient is φ = 40795103232000.

The previous prime is 200102021011187. The next prime is 200102021011213. The reversal of 200102021011200 is 2110120201002.

It is an interprime number because it is at equal distance from previous prime (200102021011187) and next prime (200102021011213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77078310 + ... + 79632090.

It is an arithmetic number, because the mean of its divisors is an integer number (970907055888).

Almost surely, 2^{200102021011200} is an apocalyptic number.

200102021011200 is a gapful number since it is divisible by the number (20) 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 200102021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419431848143616).

200102021011200 is an abundant number, since it is smaller than the sum of its proper divisors (638761675276032).

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

200102021011200 is a wasteful number, since it uses less digits than its factorization.

200102021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553881 (or 2553862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200102021011200 its reverse (2110120201002), we get a palindrome (202212141212202).

The spelling of 200102021011200 in words is "two hundred trillion, one hundred two billion, twenty-one million, eleven thousand, two hundred".