210121001021200 has 240 divisors, whose sum is σ = 542608936430400. Its totient is φ = 77906417909760.

The previous prime is 210121001021189. The next prime is 210121001021201. The reversal of 210121001021200 is 2120100121012.

It is a super-2 number, since 2×210121001021200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210121001021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2151749976 + ... + 2151847624.

It is an arithmetic number, because the mean of its divisors is an integer number (2260870568460).

Almost surely, 2^{210121001021200} is an apocalyptic number.

210121001021200 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 210121001021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271304468215200).

210121001021200 is an abundant number, since it is smaller than the sum of its proper divisors (332487935409200).

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

210121001021200 is a wasteful number, since it uses less digits than its factorization.

210121001021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102474 (or 102463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210121001021200 its reverse (2120100121012), we get a palindrome (212241101142212).

The spelling of 210121001021200 in words is "two hundred ten trillion, one hundred twenty-one billion, one million, twenty-one thousand, two hundred".