101332121 has 16 divisors (see below), whose sum is σ = 118205568. Its totient is φ = 85843200.

The previous prime is 101332109. The next prime is 101332129. The reversal of 101332121 is 121233101.

It is not a de Polignac number, because 101332121 - 2⁶ = 101332057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101332096 and 101332105.

It is not an unprimeable number, because it can be changed into a prime (101332129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16631 + ... + 21891.

It is an arithmetic number, because the mean of its divisors is an integer number (7387848).

Almost surely, 2^101332121 is an apocalyptic number.

101332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101332121 is a deficient number, since it is larger than the sum of its proper divisors (16873447).

101332121 is a wasteful number, since it uses less digits than its factorization.

101332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101332121 is about 10066.3856969619. The cubic root of 101332121 is about 466.2108512436.

Adding to 101332121 its reverse (121233101), we get a palindrome (222565222).

The spelling of 101332121 in words is "one hundred one million, three hundred thirty-two thousand, one hundred twenty-one".