10000201323210 has 384 divisors, whose sum is σ = 29077324075008. Its totient is φ = 2192920128000.

The previous prime is 10000201323191. The next prime is 10000201323247. The reversal of 10000201323210 is 1232310200001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10000201323210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3743990175 + ... + 3743992845.

It is an arithmetic number, because the mean of its divisors is an integer number (75722198112).

Almost surely, 2^{10000201323210} is an apocalyptic number.

10000201323210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000201323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538662037504).

10000201323210 is an abundant number, since it is smaller than the sum of its proper divisors (19077122751798).

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

10000201323210 is a wasteful number, since it uses less digits than its factorization.

10000201323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10000201323210 its reverse (1232310200001), we get a palindrome (11232511523211).

The spelling of 10000201323210 in words is "ten trillion, two hundred one million, three hundred twenty-three thousand, two hundred ten".