2135011630200 has 192 divisors, whose sum is σ = 6733101196800. Its totient is φ = 559488230400.

The previous prime is 2135011630189. The next prime is 2135011630217. The reversal of 2135011630200 is 20361105312.

It is a super-2 number, since 2×2135011630200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 118333180 + ... + 118351220.

It is an arithmetic number, because the mean of its divisors is an integer number (35068235400).

Almost surely, 2^{2135011630200} is an apocalyptic number.

2135011630200 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 2135011630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366550598400).

2135011630200 is an abundant number, since it is smaller than the sum of its proper divisors (4598089566600).

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

2135011630200 is a wasteful number, since it uses less digits than its factorization.

2135011630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21462 (or 21453 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 2135011630200 its reverse (20361105312), we get a palindrome (2155372735512).

The spelling of 2135011630200 in words is "two trillion, one hundred thirty-five billion, eleven million, six hundred thirty thousand, two hundred".