210103131222000 has 1920 divisors, whose sum is σ = 827174051758080. Its totient is φ = 49474022400000.

The previous prime is 210103131221989. The next prime is 210103131222001. The reversal of 210103131222000 is 222131301012.

210103131222000 is a `hidden beast` number, since 2 + 101 + 0 + 31 + 312 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210103131222001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39619671349 + ... + 39619676651.

It is an arithmetic number, because the mean of its divisors is an integer number (430819818624).

Almost surely, 2^{210103131222000} is an apocalyptic number.

210103131222000 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 210103131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413587025879040).

210103131222000 is an abundant number, since it is smaller than the sum of its proper divisors (617070920536080).

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

210103131222000 is a wasteful number, since it uses less digits than its factorization.

210103131222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5501 counting only the distinct ones).

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

Adding to 210103131222000 its reverse (222131301012), we get a palindrome (210325262523012).

The spelling of 210103131222000 in words is "two hundred ten trillion, one hundred three billion, one hundred thirty-one million, two hundred twenty-two thousand".