200011334101020 has 288 divisors, whose sum is σ = 671090846549760. Its totient is φ = 47898508584960.

The previous prime is 200011334101013. The next prime is 200011334101039. The reversal of 200011334101020 is 20101433110002.

200011334101020 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 133 + 410 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200011334100984 and 200011334101002.

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, 993058486 + ... + 993259874.

It is an arithmetic number, because the mean of its divisors is an integer number (2330176550520).

Almost surely, 2^{200011334101020} is an apocalyptic number.

200011334101020 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 200011334101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335545423274880).

200011334101020 is an abundant number, since it is smaller than the sum of its proper divisors (471079512448740).

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

200011334101020 is a wasteful number, since it uses less digits than its factorization.

200011334101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212925 (or 212920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200011334101020 its reverse (20101433110002), we get a palindrome (220112767211022).

The spelling of 200011334101020 in words is "two hundred trillion, eleven billion, three hundred thirty-four million, one hundred one thousand, twenty".