10210001103232 has 384 divisors, whose sum is σ = 24234389222400. Its totient is φ = 4196720640000.

The previous prime is 10210001103199. The next prime is 10210001103259. The reversal of 10210001103232 is 23230110001201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 40677295107 + ... + 40677295357.

It is an arithmetic number, because the mean of its divisors is an integer number (63110388600).

Almost surely, 2^{10210001103232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210001103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117194611200).

10210001103232 is an abundant number, since it is smaller than the sum of its proper divisors (14024388119168).

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

10210001103232 is a wasteful number, since it uses less digits than its factorization.

10210001103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10210001103232 its reverse (23230110001201), we get a palindrome (33440111104433).

The spelling of 10210001103232 in words is "ten trillion, two hundred ten billion, one million, one hundred three thousand, two hundred thirty-two".