10201493016 has 288 divisors, whose sum is σ = 32887296000. Its totient is φ = 2831811840.

The previous prime is 10201492997. The next prime is 10201493041. The reversal of 10201493016 is 61039410201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26635561 + ... + 26635943.

It is an arithmetic number, because the mean of its divisors is an integer number (114192000).

Almost surely, 2^10201493016 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 10201493016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443648000).

10201493016 is an abundant number, since it is smaller than the sum of its proper divisors (22685802984).

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

10201493016 is a wasteful number, since it uses less digits than its factorization.

10201493016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

It can be divided in two parts, 1020149 and 3016, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 10201493016 in words is "ten billion, two hundred one million, four hundred ninety-three thousand, sixteen".