200121355510400 has 384 divisors, whose sum is σ = 526820506329600. Its totient is φ = 74897671680000.

The previous prime is 200121355510393. The next prime is 200121355510463. The reversal of 200121355510400 is 4015553121002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27003282695 + ... + 27003290105.

It is an arithmetic number, because the mean of its divisors is an integer number (1371928401900).

Almost surely, 2^{200121355510400} is an apocalyptic number.

200121355510400 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 200121355510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263410253164800).

200121355510400 is an abundant number, since it is smaller than the sum of its proper divisors (326699150819200).

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

200121355510400 is a wasteful number, since it uses less digits than its factorization.

200121355510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888 (or 12871 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 200121355510400 in words is "two hundred trillion, one hundred twenty-one billion, three hundred fifty-five million, five hundred ten thousand, four hundred".