101041225000 has 96 divisors (see below), whose sum is σ = 237046937400. Its totient is φ = 40374400000.

The previous prime is 101041224989. The next prime is 101041225039. The reversal of 101041225000 is 522140101.

101041225000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 22101579556 + 78939645444 = 148666^2 + 280962^2 .

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, 37023636 + ... + 37026364.

Almost surely, 2^101041225000 is an apocalyptic number.

101041225000 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 101041225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523468700).

101041225000 is an abundant number, since it is smaller than the sum of its proper divisors (136005712400).

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

101041225000 is an equidigital number, since it uses as much as digits as its factorization.

101041225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 101041225000 its reverse (522140101), we get a palindrome (101563365101).

It can be divided in two parts, 101041 and 225000, that added together give a square (326041 = 571²).

The spelling of 101041225000 in words is "one hundred one billion, forty-one million, two hundred twenty-five thousand".