125233340100 has 144 divisors (see below), whose sum is σ = 397708711680. Its totient is φ = 30173212800.

The previous prime is 125233340093. The next prime is 125233340107. The reversal of 125233340100 is 1043332521.

It is an interprime number because it is at equal distance from previous prime (125233340093) and next prime (125233340107).

It is not an unprimeable number, because it can be changed into a prime (125233340107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421491 + ... + 654309.

Almost surely, 2^125233340100 is an apocalyptic number.

125233340100 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 125233340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198854355840).

125233340100 is an abundant number, since it is smaller than the sum of its proper divisors (272475371580).

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

125233340100 is a wasteful number, since it uses less digits than its factorization.

125233340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233010 (or 233003 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 125233340100 its reverse (1043332521), we get a palindrome (126276672621).

The spelling of 125233340100 in words is "one hundred twenty-five billion, two hundred thirty-three million, three hundred forty thousand, one hundred".