101103121 has 24 divisors (see below), whose sum is σ = 122791680. Its totient is φ = 82908000.

The previous prime is 101103113. The next prime is 101103143. The reversal of 101103121 is 121301101.

It is not a de Polignac number, because 101103121 - 2³ = 101103113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101103098 and 101103107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103181) 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 23 ways as a sum of consecutive naturals, for example, 153090 + ... + 153748.

It is an arithmetic number, because the mean of its divisors is an integer number (5116320).

Almost surely, 2^101103121 is an apocalyptic number.

It is an amenable number.

101103121 is a deficient number, since it is larger than the sum of its proper divisors (21688559).

101103121 is a wasteful number, since it uses less digits than its factorization.

101103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101103121 is about 10055.0047737433. The cubic root of 101103121 is about 465.8593904272.

Adding to 101103121 its reverse (121301101), we get a palindrome (222404222).

It can be divided in two parts, 10110 and 3121, that added together give a palindrome (13231).

The spelling of 101103121 in words is "one hundred one million, one hundred three thousand, one hundred twenty-one".