10201226163264 has 280 divisors, whose sum is σ = 30568066519320. Its totient is φ = 3363596845056.

The previous prime is 10201226163263. The next prime is 10201226163277. The reversal of 10201226163264 is 46236162210201.

10201226163264 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 2 + 2 + 616 + 32 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1922992358400 + 8278233804864 = 1386720^2 + 2877192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10201226163263) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 298151022 + ... + 298185234.

Almost surely, 2^{10201226163264} 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 10201226163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284033259660).

10201226163264 is an abundant number, since it is smaller than the sum of its proper divisors (20366840356056).

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

10201226163264 is a wasteful number, since it uses less digits than its factorization.

10201226163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34859 (or 34840 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10201226163264 its reverse (46236162210201), we get a palindrome (56437388373465).

The spelling of 10201226163264 in words is "ten trillion, two hundred one billion, two hundred twenty-six million, one hundred sixty-three thousand, two hundred sixty-four".