210001132121130 has 256 divisors, whose sum is σ = 673777488384000. Its totient is φ = 45467878272768.

The previous prime is 210001132121119. The next prime is 210001132121153. The reversal of 210001132121130 is 31121231100012.

210001132121130 is a `hidden beast` number, since 2 + 100 + 0 + 1 + 1 + 321 + 211 + 30 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272135697 + ... + 272906283.

It is an arithmetic number, because the mean of its divisors is an integer number (2631943314000).

Almost surely, 2^{210001132121130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210001132121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336888744192000).

210001132121130 is an abundant number, since it is smaller than the sum of its proper divisors (463776356262870).

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

210001132121130 is a wasteful number, since it uses less digits than its factorization.

210001132121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778218 (or 778212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 210001132121130 its reverse (31121231100012), we get a palindrome (241122363221142).

The spelling of 210001132121130 in words is "two hundred ten trillion, one billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred thirty".