1024120545100 has 72 divisors (see below), whose sum is σ = 2247819130368. Its totient is φ = 404974886400.

The previous prime is 1024120545089. The next prime is 1024120545139. The reversal of 1024120545100 is 15450214201.

It is a super-2 number, since 2×1024120545100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3425214 + ... + 3712186.

It is an arithmetic number, because the mean of its divisors is an integer number (31219710144).

Almost surely, 2^{1024120545100} is an apocalyptic number.

1024120545100 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 1024120545100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123909565184).

1024120545100 is an abundant number, since it is smaller than the sum of its proper divisors (1223698585268).

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

1024120545100 is a wasteful number, since it uses less digits than its factorization.

1024120545100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287395 (or 287388 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 1024120545100 its reverse (15450214201), we get a palindrome (1039570759301).

The spelling of 1024120545100 in words is "one trillion, twenty-four billion, one hundred twenty million, five hundred forty-five thousand, one hundred".