101025440500 has 48 divisors (see below), whose sum is σ = 220754898000. Its totient is φ = 40389052800.

The previous prime is 101025440489. The next prime is 101025440519. The reversal of 101025440500 is 5044520101.

It can be written as a sum of positive squares in 8 ways, for example, as 10132838244 + 90892602256 = 100662^2 + 301484^2 .

It is a super-4 number, since 4×101025440500⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922666 + ... + 1026334.

It is an arithmetic number, because the mean of its divisors is an integer number (4599060375).

Almost surely, 2^101025440500 is an apocalyptic number.

101025440500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101025440500 is an abundant number, since it is smaller than the sum of its proper divisors (119729457500).

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

101025440500 is a wasteful number, since it uses less digits than its factorization.

101025440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105637 (or 105625 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 101025440500 its reverse (5044520101), we get a palindrome (106069960601).

The spelling of 101025440500 in words is "one hundred one billion, twenty-five million, four hundred forty thousand, five hundred".