210210121121000 has 512 divisors, whose sum is σ = 660567851274240. Its totient is φ = 60468508800000.

The previous prime is 210210121120997. The next prime is 210210121121071. The reversal of 210210121121000 is 121121012012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6217194095 + ... + 6217227905.

It is an arithmetic number, because the mean of its divisors is an integer number (1290171584520).

Almost surely, 2^{210210121121000} is an apocalyptic number.

210210121121000 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 210210121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330283925637120).

210210121121000 is an abundant number, since it is smaller than the sum of its proper divisors (450357730153240).

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

210210121121000 is a wasteful number, since it uses less digits than its factorization.

210210121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40074 (or 40060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210210121121000 its reverse (121121012012), we get a palindrome (210331242133012).

The spelling of 210210121121000 in words is "two hundred ten trillion, two hundred ten billion, one hundred twenty-one million, one hundred twenty-one thousand".