1021171012064 has 72 divisors (see below), whose sum is σ = 2339339713200. Its totient is φ = 437518265856.

The previous prime is 1021171012061. The next prime is 1021171012129. The reversal of 1021171012064 is 4602101711201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021171012061) 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 11 ways as a sum of consecutive naturals, for example, 5438012 + ... + 5622660.

It is an arithmetic number, because the mean of its divisors is an integer number (32490829350).

Almost surely, 2^{1021171012064} is an apocalyptic number.

1021171012064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021171012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169669856600).

1021171012064 is an abundant number, since it is smaller than the sum of its proper divisors (1318168701136).

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

1021171012064 is a wasteful number, since it uses less digits than its factorization.

1021171012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188200 (or 188185 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 1021171012064 its reverse (4602101711201), we get a palindrome (5623272723265).

The spelling of 1021171012064 in words is "one trillion, twenty-one billion, one hundred seventy-one million, twelve thousand, sixty-four".