10145221001256 has 128 divisors (see below), whose sum is σ = 28881590169600. Its totient is φ = 2939644097280.

The previous prime is 10145221001219. The next prime is 10145221001281. The reversal of 10145221001256 is 65210012254101.

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 31 ways as a sum of consecutive naturals, for example, 17672385 + ... + 18237423.

It is an arithmetic number, because the mean of its divisors is an integer number (225637423200).

Almost surely, 2^{10145221001256} 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 10145221001256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440795084800).

10145221001256 is an abundant number, since it is smaller than the sum of its proper divisors (18736369168344).

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

10145221001256 is a wasteful number, since it uses less digits than its factorization.

10145221001256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568039 (or 568035 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 10145221001256 its reverse (65210012254101), we get a palindrome (75355233255357).

The spelling of 10145221001256 in words is "ten trillion, one hundred forty-five billion, two hundred twenty-one million, one thousand, two hundred fifty-six".