1020242145220 has 72 divisors (see below), whose sum is σ = 2258956292544. Its totient is φ = 386327614464.

The previous prime is 1020242145211. The next prime is 1020242145253. The reversal of 1020242145220 is 225412420201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4210279 + ... + 4446001.

It is an arithmetic number, because the mean of its divisors is an integer number (31374392952).

Almost surely, 2^{1020242145220} is an apocalyptic number.

1020242145220 is a gapful number since it is divisible by the number (10) 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 1020242145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129478146272).

1020242145220 is an abundant number, since it is smaller than the sum of its proper divisors (1238714147324).

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

1020242145220 is a wasteful number, since it uses less digits than its factorization.

1020242145220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235949 (or 235850 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1020242145220 its reverse (225412420201), we get a palindrome (1245654565421).

The spelling of 1020242145220 in words is "one trillion, twenty billion, two hundred forty-two million, one hundred forty-five thousand, two hundred twenty".