35421000210120 has 256 divisors, whose sum is σ = 122576590540800. Its totient is φ = 8020707609600.

The previous prime is 35421000210103. The next prime is 35421000210209. The reversal of 35421000210120 is 2101200012453.

It is a super-3 number, since 3×35421000210120³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 673031247 + ... + 673083873.

It is an arithmetic number, because the mean of its divisors is an integer number (478814806800).

Almost surely, 2^{35421000210120} is an apocalyptic number.

35421000210120 is a gapful number since it is divisible by the number (30) 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 35421000210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61288295270400).

35421000210120 is an abundant number, since it is smaller than the sum of its proper divisors (87155590330680).

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

35421000210120 is a wasteful number, since it uses less digits than its factorization.

35421000210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60108 (or 60104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 35421000210120 its reverse (2101200012453), we get a palindrome (37522200222573).

The spelling of 35421000210120 in words is "thirty-five trillion, four hundred twenty-one billion, two hundred ten thousand, one hundred twenty".