210021121002000 has 1280 divisors, whose sum is σ = 849388515655680. Its totient is φ = 43372723968000.

The previous prime is 210021121001987. The next prime is 210021121002031. The reversal of 210021121002000 is 200121120012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53755084047 + ... + 53755087953.

It is an arithmetic number, because the mean of its divisors is an integer number (663584777856).

Almost surely, 2^{210021121002000} is an apocalyptic number.

210021121002000 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 210021121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424694257827840).

210021121002000 is an abundant number, since it is smaller than the sum of its proper divisors (639367394653680).

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

210021121002000 is a wasteful number, since it uses less digits than its factorization.

210021121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210021121002000 its reverse (200121120012), we get a palindrome (210221242122012).

The spelling of 210021121002000 in words is "two hundred ten trillion, twenty-one billion, one hundred twenty-one million, two thousand".