211300121210130 has 384 divisors, whose sum is σ = 604938087936000. Its totient is φ = 52999658933760.

The previous prime is 211300121210077. The next prime is 211300121210137. The reversal of 211300121210130 is 31012121003112.

211300121210130 is a `hidden beast` number, since 2 + 1 + 1 + 300 + 1 + 21 + 210 + 130 = 666.

It is a super-2 number, since 2×211300121210130² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211300121210137) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 313398121 + ... + 314071619.

It is an arithmetic number, because the mean of its divisors is an integer number (1575359604000).

Almost surely, 2^{211300121210130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211300121210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302469043968000).

211300121210130 is an abundant number, since it is smaller than the sum of its proper divisors (393637966725870).

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

211300121210130 is a wasteful number, since it uses less digits than its factorization.

211300121210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673676 (or 673664 counting only the distinct ones).

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

Adding to 211300121210130 its reverse (31012121003112), we get a palindrome (242312242213242).

The spelling of 211300121210130 in words is "two hundred eleven trillion, three hundred billion, one hundred twenty-one million, two hundred ten thousand, one hundred thirty".