101325058200 has 288 divisors, whose sum is σ = 362228490000. Its totient is φ = 25309532160.

The previous prime is 101325058193. The next prime is 101325058201. The reversal of 101325058200 is 2850523101.

It is a happy number.

101325058200 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 50 + 582 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101325058201) 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 71 ways as a sum of consecutive naturals, for example, 3027156 + ... + 3060444.

Almost surely, 2^101325058200 is an apocalyptic number.

101325058200 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 101325058200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181114245000).

101325058200 is an abundant number, since it is smaller than the sum of its proper divisors (260903431800).

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

101325058200 is a wasteful number, since it uses less digits than its factorization.

101325058200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33419 (or 33407 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 101325058200 in words is "one hundred one billion, three hundred twenty-five million, fifty-eight thousand, two hundred".