210034201146 has 256 divisors, whose sum is σ = 540104785920. Its totient is φ = 52884000000.

The previous prime is 210034201127. The next prime is 210034201151. The reversal of 210034201146 is 641102430012.

It is a super-2 number, since 2×210034201146² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 836789521 + ... + 836789771.

It is an arithmetic number, because the mean of its divisors is an integer number (2109784320).

Almost surely, 2^210034201146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210034201146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270052392960).

210034201146 is an abundant number, since it is smaller than the sum of its proper divisors (330070584774).

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

210034201146 is a wasteful number, since it uses less digits than its factorization.

210034201146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 210034201146 its reverse (641102430012), we get a palindrome (851136631158).

The spelling of 210034201146 in words is "two hundred ten billion, thirty-four million, two hundred one thousand, one hundred forty-six".