101201135325 has 24 divisors (see below), whose sum is σ = 171210360288. Its totient is φ = 52718729280.

The previous prime is 101201135297. The next prime is 101201135327. The reversal of 101201135325 is 523531102101.

It is not a de Polignac number, because 101201135325 - 2⁷ = 101201135197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201135295 and 101201135304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201135327) 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 23 ways as a sum of consecutive naturals, for example, 15686874 + ... + 15693323.

It is an arithmetic number, because the mean of its divisors is an integer number (7133765012).

Almost surely, 2^101201135325 is an apocalyptic number.

101201135325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101201135325 is a deficient number, since it is larger than the sum of its proper divisors (70009224963).

101201135325 is a wasteful number, since it uses less digits than its factorization.

101201135325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380253 (or 31380248 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101201135325 its reverse (523531102101), we get a palindrome (624732237426).

The spelling of 101201135325 in words is "one hundred one billion, two hundred one million, one hundred thirty-five thousand, three hundred twenty-five".