101353521 has 16 divisors (see below), whose sum is σ = 140880960. Its totient is φ = 64733760.

The previous prime is 101353453. The next prime is 101353523. The reversal of 101353521 is 125353101.

It is not a de Polignac number, because 101353521 - 2⁷ = 101353393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101353523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6951 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (8805060).

Almost surely, 2^101353521 is an apocalyptic number.

It is an amenable number.

101353521 is a deficient number, since it is larger than the sum of its proper divisors (39527439).

101353521 is a wasteful number, since it uses less digits than its factorization.

101353521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 101353521 is about 10067.4485844230. The cubic root of 101353521 is about 466.2436681164.

It can be divided in two parts, 10 and 1353521, that added together give a palindrome (1353531).

The spelling of 101353521 in words is "one hundred one million, three hundred fifty-three thousand, five hundred twenty-one".