1024220050100 has 72 divisors (see below), whose sum is σ = 2394320821368. Its totient is φ = 378047577600.

The previous prime is 1024220050079. The next prime is 1024220050111. The reversal of 1024220050100 is 10500224201.

It can be written as a sum of positive squares in 12 ways, for example, as 171722387236 + 852497662864 = 414394^2 + 923308^2 .

It is a super-2 number, since 2×1024220050100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3818390 + ... + 4077810.

Almost surely, 2^{1024220050100} is an apocalyptic number.

1024220050100 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 1024220050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197160410684).

1024220050100 is an abundant number, since it is smaller than the sum of its proper divisors (1370100771268).

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

1024220050100 is a wasteful number, since it uses less digits than its factorization.

1024220050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262485 (or 262478 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 1024220050100 its reverse (10500224201), we get a palindrome (1034720274301).

The spelling of 1024220050100 in words is "one trillion, twenty-four billion, two hundred twenty million, fifty thousand, one hundred".